Finding the Fourth Proportional to 105,729, 158,593.50 and 31,857
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Solution
The fourth proportional to 105,729, 158,593.50 and 31,857 is: 47,785.50
Step by Step Solution
- Step 1: Write the proportion equation
105,729 : 158,593.50 = 31,857 : x - Step 2: Convert to fraction form
105,729/158,593.50 = 31,857/x - Step 3: Cross multiply
105,729x = 158,593.50 × 31,857 - Step 4: Simplify right side
105,729x = 5,052,313,129.50 - Step 5: Solve for x
x = 5,052,313,129.50/105,729 - Step 6: Final answer
x = 47,785.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.