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Finding the Fourth Proportional to 48,833.92, 67,388.04 and 27,614.08

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Solution

The fourth proportional to 48,833.92, 67,388.04 and 27,614.08 is: 38,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,833.92 : 67,388.04 = 27,614.08 : x
  2. Step 2: Convert to fraction form
    48,833.92/67,388.04 = 27,614.08/x
  3. Step 3: Cross multiply
    48,833.92x = 67,388.04 × 27,614.08
  4. Step 4: Simplify right side
    48,833.92x = 1,860,858,727.60
  5. Step 5: Solve for x
    x = 1,860,858,727.60/48,833.92
  6. Step 6: Final answer
    x = 38,105.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.