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Finding the Fourth Proportional to 71,254.62, 106,701.12 and 42,773.85

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Solution

The fourth proportional to 71,254.62, 106,701.12 and 42,773.85 is: 64,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,254.62 : 106,701.12 = 42,773.85 : x
  2. Step 2: Convert to fraction form
    71,254.62/106,701.12 = 42,773.85/x
  3. Step 3: Cross multiply
    71,254.62x = 106,701.12 × 42,773.85
  4. Step 4: Simplify right side
    71,254.62x = 4,564,017,701.71
  5. Step 5: Solve for x
    x = 4,564,017,701.71/71,254.62
  6. Step 6: Final answer
    x = 64,052.24

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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.