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Finding the Fourth Proportional to 32,486.52, 48,729.78 and 7,862.52

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Solution

The fourth proportional to 32,486.52, 48,729.78 and 7,862.52 is: 11,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.52 : 48,729.78 = 7,862.52 : x
  2. Step 2: Convert to fraction form
    32,486.52/48,729.78 = 7,862.52/x
  3. Step 3: Cross multiply
    32,486.52x = 48,729.78 × 7,862.52
  4. Step 4: Simplify right side
    32,486.52x = 383,138,869.85
  5. Step 5: Solve for x
    x = 383,138,869.85/32,486.52
  6. Step 6: Final answer
    x = 11,793.78

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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.