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Finding the Fourth Proportional to 71,732.70, 107,524.73 and 24,331.91

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Solution

The fourth proportional to 71,732.70, 107,524.73 and 24,331.91 is: 36,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,732.70 : 107,524.73 = 24,331.91 : x
  2. Step 2: Convert to fraction form
    71,732.70/107,524.73 = 24,331.91/x
  3. Step 3: Cross multiply
    71,732.70x = 107,524.73 × 24,331.91
  4. Step 4: Simplify right side
    71,732.70x = 2,616,281,576.34
  5. Step 5: Solve for x
    x = 2,616,281,576.34/71,732.70
  6. Step 6: Final answer
    x = 36,472.65

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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.