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Finding the Fourth Proportional to 57,766.80, 86,538.06 and 32,729.88

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Solution

The fourth proportional to 57,766.80, 86,538.06 and 32,729.88 is: 49,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,766.80 : 86,538.06 = 32,729.88 : x
  2. Step 2: Convert to fraction form
    57,766.80/86,538.06 = 32,729.88/x
  3. Step 3: Cross multiply
    57,766.80x = 86,538.06 × 32,729.88
  4. Step 4: Simplify right side
    57,766.80x = 2,832,380,319.23
  5. Step 5: Solve for x
    x = 2,832,380,319.23/57,766.80
  6. Step 6: Final answer
    x = 49,031.28

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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.