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Finding the Fourth Proportional to 43,781.60, 65,672.40 and 32,031.20

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Solution

The fourth proportional to 43,781.60, 65,672.40 and 32,031.20 is: 48,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,781.60 : 65,672.40 = 32,031.20 : x
  2. Step 2: Convert to fraction form
    43,781.60/65,672.40 = 32,031.20/x
  3. Step 3: Cross multiply
    43,781.60x = 65,672.40 × 32,031.20
  4. Step 4: Simplify right side
    43,781.60x = 2,103,565,778.88
  5. Step 5: Solve for x
    x = 2,103,565,778.88/43,781.60
  6. Step 6: Final answer
    x = 48,046.80

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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.