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Finding the Fourth Proportional to 94,711.92, 142,095.96 and 31,540.20

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Solution

The fourth proportional to 94,711.92, 142,095.96 and 31,540.20 is: 47,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,711.92 : 142,095.96 = 31,540.20 : x
  2. Step 2: Convert to fraction form
    94,711.92/142,095.96 = 31,540.20/x
  3. Step 3: Cross multiply
    94,711.92x = 142,095.96 × 31,540.20
  4. Step 4: Simplify right side
    94,711.92x = 4,481,734,997.59
  5. Step 5: Solve for x
    x = 4,481,734,997.59/94,711.92
  6. Step 6: Final answer
    x = 47,319.65

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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.