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Finding the Fourth Proportional to 71,248.50, 106,909.14 and 29,159.64

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Solution

The fourth proportional to 71,248.50, 106,909.14 and 29,159.64 is: 43,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,248.50 : 106,909.14 = 29,159.64 : x
  2. Step 2: Convert to fraction form
    71,248.50/106,909.14 = 29,159.64/x
  3. Step 3: Cross multiply
    71,248.50x = 106,909.14 × 29,159.64
  4. Step 4: Simplify right side
    71,248.50x = 3,117,432,035.11
  5. Step 5: Solve for x
    x = 3,117,432,035.11/71,248.50
  6. Step 6: Final answer
    x = 43,754.35

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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.