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Finding the Fourth Proportional to 71,462.52, 107,205.12 and 24,719.04

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Solution

The fourth proportional to 71,462.52, 107,205.12 and 24,719.04 is: 37,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,462.52 : 107,205.12 = 24,719.04 : x
  2. Step 2: Convert to fraction form
    71,462.52/107,205.12 = 24,719.04/x
  3. Step 3: Cross multiply
    71,462.52x = 107,205.12 × 24,719.04
  4. Step 4: Simplify right side
    71,462.52x = 2,650,007,649.48
  5. Step 5: Solve for x
    x = 2,650,007,649.48/71,462.52
  6. Step 6: Final answer
    x = 37,082.48

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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.