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Finding the Fourth Proportional to 83,654.48, 125,472.54 and 24,490.73

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Solution

The fourth proportional to 83,654.48, 125,472.54 and 24,490.73 is: 36,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,654.48 : 125,472.54 = 24,490.73 : x
  2. Step 2: Convert to fraction form
    83,654.48/125,472.54 = 24,490.73/x
  3. Step 3: Cross multiply
    83,654.48x = 125,472.54 × 24,490.73
  4. Step 4: Simplify right side
    83,654.48x = 3,072,914,099.55
  5. Step 5: Solve for x
    x = 3,072,914,099.55/83,654.48
  6. Step 6: Final answer
    x = 36,733.41

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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.