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Finding the Fourth Proportional to 113,331.92, 169,995.96 and 39,458

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Solution

The fourth proportional to 113,331.92, 169,995.96 and 39,458 is: 59,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,331.92 : 169,995.96 = 39,458 : x
  2. Step 2: Convert to fraction form
    113,331.92/169,995.96 = 39,458/x
  3. Step 3: Cross multiply
    113,331.92x = 169,995.96 × 39,458
  4. Step 4: Simplify right side
    113,331.92x = 6,707,700,589.68
  5. Step 5: Solve for x
    x = 6,707,700,589.68/113,331.92
  6. Step 6: Final answer
    x = 59,186.33

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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.