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Finding the Fourth Proportional to 71,660.64, 107,503.89 and 29,517.72

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Solution

The fourth proportional to 71,660.64, 107,503.89 and 29,517.72 is: 44,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,660.64 : 107,503.89 = 29,517.72 : x
  2. Step 2: Convert to fraction form
    71,660.64/107,503.89 = 29,517.72/x
  3. Step 3: Cross multiply
    71,660.64x = 107,503.89 × 29,517.72
  4. Step 4: Simplify right side
    71,660.64x = 3,173,269,723.93
  5. Step 5: Solve for x
    x = 3,173,269,723.93/71,660.64
  6. Step 6: Final answer
    x = 44,281.91

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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.