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Finding the Fourth Proportional to 71,583.32, 107,375.25 and 24,198.77

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Solution

The fourth proportional to 71,583.32, 107,375.25 and 24,198.77 is: 36,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,583.32 : 107,375.25 = 24,198.77 : x
  2. Step 2: Convert to fraction form
    71,583.32/107,375.25 = 24,198.77/x
  3. Step 3: Cross multiply
    71,583.32x = 107,375.25 × 24,198.77
  4. Step 4: Simplify right side
    71,583.32x = 2,598,348,978.44
  5. Step 5: Solve for x
    x = 2,598,348,978.44/71,583.32
  6. Step 6: Final answer
    x = 36,298.25

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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.