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Finding the Fourth Proportional to 31,414.92, 47,121.17 and 10,638.42

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Solution

The fourth proportional to 31,414.92, 47,121.17 and 10,638.42 is: 15,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,414.92 : 47,121.17 = 10,638.42 : x
  2. Step 2: Convert to fraction form
    31,414.92/47,121.17 = 10,638.42/x
  3. Step 3: Cross multiply
    31,414.92x = 47,121.17 × 10,638.42
  4. Step 4: Simplify right side
    31,414.92x = 501,294,744.16
  5. Step 5: Solve for x
    x = 501,294,744.16/31,414.92
  6. Step 6: Final answer
    x = 15,957.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.