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Finding the Fourth Proportional to 71,375.40, 107,063.10 and 29,822.40

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Solution

The fourth proportional to 71,375.40, 107,063.10 and 29,822.40 is: 44,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,375.40 : 107,063.10 = 29,822.40 : x
  2. Step 2: Convert to fraction form
    71,375.40/107,063.10 = 29,822.40/x
  3. Step 3: Cross multiply
    71,375.40x = 107,063.10 × 29,822.40
  4. Step 4: Simplify right side
    71,375.40x = 3,192,878,593.44
  5. Step 5: Solve for x
    x = 3,192,878,593.44/71,375.40
  6. Step 6: Final answer
    x = 44,733.60

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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.