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Finding the Fourth Proportional to 71,244, 106,866 and 29,691

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Solution

The fourth proportional to 71,244, 106,866 and 29,691 is: 44,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,244 : 106,866 = 29,691 : x
  2. Step 2: Convert to fraction form
    71,244/106,866 = 29,691/x
  3. Step 3: Cross multiply
    71,244x = 106,866 × 29,691
  4. Step 4: Simplify right side
    71,244x = 3,172,958,406
  5. Step 5: Solve for x
    x = 3,172,958,406/71,244
  6. Step 6: Final answer
    x = 44,536.50

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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.