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Finding the Fourth Proportional to 71,269.70, 106,904.55 and 29,711.30

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Solution

The fourth proportional to 71,269.70, 106,904.55 and 29,711.30 is: 44,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,269.70 : 106,904.55 = 29,711.30 : x
  2. Step 2: Convert to fraction form
    71,269.70/106,904.55 = 29,711.30/x
  3. Step 3: Cross multiply
    71,269.70x = 106,904.55 × 29,711.30
  4. Step 4: Simplify right side
    71,269.70x = 3,176,273,156.42
  5. Step 5: Solve for x
    x = 3,176,273,156.42/71,269.70
  6. Step 6: Final answer
    x = 44,566.95

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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.