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Finding the Fourth Proportional to 32,488.52, 48,732.78 and 7,864.52

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Solution

The fourth proportional to 32,488.52, 48,732.78 and 7,864.52 is: 11,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488.52 : 48,732.78 = 7,864.52 : x
  2. Step 2: Convert to fraction form
    32,488.52/48,732.78 = 7,864.52/x
  3. Step 3: Cross multiply
    32,488.52x = 48,732.78 × 7,864.52
  4. Step 4: Simplify right side
    32,488.52x = 383,259,922.97
  5. Step 5: Solve for x
    x = 383,259,922.97/32,488.52
  6. Step 6: Final answer
    x = 11,796.78

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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.