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Finding the Fourth Proportional to 71,406.08, 107,175.52 and 36,372

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Solution

The fourth proportional to 71,406.08, 107,175.52 and 36,372 is: 54,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406.08 : 107,175.52 = 36,372 : x
  2. Step 2: Convert to fraction form
    71,406.08/107,175.52 = 36,372/x
  3. Step 3: Cross multiply
    71,406.08x = 107,175.52 × 36,372
  4. Step 4: Simplify right side
    71,406.08x = 3,898,188,013.44
  5. Step 5: Solve for x
    x = 3,898,188,013.44/71,406.08
  6. Step 6: Final answer
    x = 54,591.82

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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.