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Finding the Fourth Proportional to 71,765.64, 107,652.24 and 21,841.92

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Solution

The fourth proportional to 71,765.64, 107,652.24 and 21,841.92 is: 32,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,765.64 : 107,652.24 = 21,841.92 : x
  2. Step 2: Convert to fraction form
    71,765.64/107,652.24 = 21,841.92/x
  3. Step 3: Cross multiply
    71,765.64x = 107,652.24 × 21,841.92
  4. Step 4: Simplify right side
    71,765.64x = 2,351,331,613.90
  5. Step 5: Solve for x
    x = 2,351,331,613.90/71,765.64
  6. Step 6: Final answer
    x = 32,764.03

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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.