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Finding the Fourth Proportional to 71,084.52, 106,626.24 and 29,531.52

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Solution

The fourth proportional to 71,084.52, 106,626.24 and 29,531.52 is: 44,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084.52 : 106,626.24 = 29,531.52 : x
  2. Step 2: Convert to fraction form
    71,084.52/106,626.24 = 29,531.52/x
  3. Step 3: Cross multiply
    71,084.52x = 106,626.24 × 29,531.52
  4. Step 4: Simplify right side
    71,084.52x = 3,148,834,939.08
  5. Step 5: Solve for x
    x = 3,148,834,939.08/71,084.52
  6. Step 6: Final answer
    x = 44,297.06

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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.