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    Work: Find the solution of equation (3%-2%）/(3%-X) = (113.738-118.851)/(113.738-116.4) .
    Question type: Equation
    Solution:Original question:

(

3 100

−

2 100

)

÷

(

3 100

−

X

)

=

(

56869 500

−

118851 1000

)

÷

(

56869 500

−

582 5

)

Multiply both sides of the equation by:

(

3 100

−

X

)

,

(

56869 500

−

582 5

)

(

3 100

−

2 100

)

(

56869 500

−

582 5

)

=

(

56869 500

−

118851 1000

)

(

3 100

−

X

)

    Remove a bracket on the left of the equation:：

3 100

(

56869 500

−

582 5

)

−

2 100

(

56869 500

−

582 5

)

=

(

56869 500

−

118851 1000

)

(

3 100

−

X

)

    Remove a bracket on the right of the equation:：

3 100

(

56869 500

−

582 5

)

−

2 100

(

56869 500

−

582 5

)

=

56869 500

(

3 100

−

X

)

−

118851 1000

(

3 100

−

X

)

    Remove a bracket on the left of the equation:

3 100

×

56869 500

−

3 100

×

582 5

−

2 100

(

56869 500

−

582 5

)

=

56869 500

(

3 100

−

X

)

−

118851 1000

(

3 100

−

X

)

    Remove a bracket on the right of the equation:：

3 100

×

56869 500

−

3 100

×

582 5

−

2 100

(

56869 500

−

582 5

)

=

56869 500

×

3 100

−

56869 500

X

−

118851 1000

(

3 100

−

X

)

    The equation is reduced to :

170607 50000

−

873 250

−

2 100

(

56869 500

−

582 5

)

=

170607 50000

−

56869 500

X

−

118851 1000

(

3 100

−

X

)

    The equation is reduced to :

-

3993 50000

−

2 100

(

56869 500

−

582 5

)

=

170607 50000

−

56869 500

X

−

118851 1000

(

3 100

−

X

)

    Remove a bracket on the left of the equation:

-

3993 50000

−

2 100

×

56869 500

+

2 100

×

582 5

=

170607 50000

−

56869 500

X

−

118851 1000

(

3 100

−

X

)

    Remove a bracket on the right of the equation:：

-

3993 50000

−

2 100

×

56869 500

+

2 100

×

582 5

=

170607 50000

−

56869 500

X

−

118851 1000

×

3 100

+

118851 1000

X

    The equation is reduced to :

-

3993 50000

−

56869 25000

+

291 125

=

170607 50000

−

56869 500

X

−

356553 100000

+

118851 1000

X

    The equation is reduced to :

-

1331 50000

=

-

15339 100000

+

5113 1000

X

    Transposition :

-

5113 1000

X

=

-

15339 100000

+

1331 50000

    Combine the items on the right of the equation:

-

5113 1000

X

=

-

12677 100000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :

12677 100000

=

5113 1000

X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :

5113 1000

X

=

12677 100000

    The coefficient of the unknown number is reduced to 1 :

X

=

12677 100000

÷

5113 1000

=

12677 100000

×

1000 5113

=

12677 100

×

1 5113

    We obtained :

X

=

12677 511300

    This is the solution of the equation.

    Convert the result to decimal form :

X

=

0.024794

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