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Finding the Fourth Proportional to 71,840.57, 107,773.92 and 29,697.76

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Solution

The fourth proportional to 71,840.57, 107,773.92 and 29,697.76 is: 44,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,840.57 : 107,773.92 = 29,697.76 : x
  2. Step 2: Convert to fraction form
    71,840.57/107,773.92 = 29,697.76/x
  3. Step 3: Cross multiply
    71,840.57x = 107,773.92 × 29,697.76
  4. Step 4: Simplify right side
    71,840.57x = 3,200,643,740.98
  5. Step 5: Solve for x
    x = 3,200,643,740.98/71,840.57
  6. Step 6: Final answer
    x = 44,552.04

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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.