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Finding the Fourth Proportional to 32,462.52, 48,693.78 and 7,838.52

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Solution

The fourth proportional to 32,462.52, 48,693.78 and 7,838.52 is: 11,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462.52 : 48,693.78 = 7,838.52 : x
  2. Step 2: Convert to fraction form
    32,462.52/48,693.78 = 7,838.52/x
  3. Step 3: Cross multiply
    32,462.52x = 48,693.78 × 7,838.52
  4. Step 4: Simplify right side
    32,462.52x = 381,687,168.41
  5. Step 5: Solve for x
    x = 381,687,168.41/32,462.52
  6. Step 6: Final answer
    x = 11,757.78

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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.