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Finding the Fourth Proportional to 71,367.84, 106,972.56 and 36,234.72

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Solution

The fourth proportional to 71,367.84, 106,972.56 and 36,234.72 is: 54,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,367.84 : 106,972.56 = 36,234.72 : x
  2. Step 2: Convert to fraction form
    71,367.84/106,972.56 = 36,234.72/x
  3. Step 3: Cross multiply
    71,367.84x = 106,972.56 × 36,234.72
  4. Step 4: Simplify right side
    71,367.84x = 3,876,120,759.28
  5. Step 5: Solve for x
    x = 3,876,120,759.28/71,367.84
  6. Step 6: Final answer
    x = 54,311.87

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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.