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Finding the Fourth Proportional to 71,404.52, 107,082.11 and 29,272.64

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Solution

The fourth proportional to 71,404.52, 107,082.11 and 29,272.64 is: 43,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,404.52 : 107,082.11 = 29,272.64 : x
  2. Step 2: Convert to fraction form
    71,404.52/107,082.11 = 29,272.64/x
  3. Step 3: Cross multiply
    71,404.52x = 107,082.11 × 29,272.64
  4. Step 4: Simplify right side
    71,404.52x = 3,134,575,594.24
  5. Step 5: Solve for x
    x = 3,134,575,594.24/71,404.52
  6. Step 6: Final answer
    x = 43,898.84

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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.