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Finding the Fourth Proportional to 31,902.17, 44,023.10 and 18,472.47

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Solution

The fourth proportional to 31,902.17, 44,023.10 and 18,472.47 is: 25,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.17 : 44,023.10 = 18,472.47 : x
  2. Step 2: Convert to fraction form
    31,902.17/44,023.10 = 18,472.47/x
  3. Step 3: Cross multiply
    31,902.17x = 44,023.10 × 18,472.47
  4. Step 4: Simplify right side
    31,902.17x = 813,215,301.69
  5. Step 5: Solve for x
    x = 813,215,301.69/31,902.17
  6. Step 6: Final answer
    x = 25,490.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.