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Finding the Fourth Proportional to 80,377.60, 120,581.52 and 32,349.88

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Solution

The fourth proportional to 80,377.60, 120,581.52 and 32,349.88 is: 48,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,377.60 : 120,581.52 = 32,349.88 : x
  2. Step 2: Convert to fraction form
    80,377.60/120,581.52 = 32,349.88/x
  3. Step 3: Cross multiply
    80,377.60x = 120,581.52 × 32,349.88
  4. Step 4: Simplify right side
    80,377.60x = 3,900,797,702.22
  5. Step 5: Solve for x
    x = 3,900,797,702.22/80,377.60
  6. Step 6: Final answer
    x = 48,530.91

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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.