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Finding the Fourth Proportional to 71,506.94, 107,255.19 and 29,375.57

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Solution

The fourth proportional to 71,506.94, 107,255.19 and 29,375.57 is: 44,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,506.94 : 107,255.19 = 29,375.57 : x
  2. Step 2: Convert to fraction form
    71,506.94/107,255.19 = 29,375.57/x
  3. Step 3: Cross multiply
    71,506.94x = 107,255.19 × 29,375.57
  4. Step 4: Simplify right side
    71,506.94x = 3,150,681,805.43
  5. Step 5: Solve for x
    x = 3,150,681,805.43/71,506.94
  6. Step 6: Final answer
    x = 44,061.21

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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.