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Finding the Fourth Proportional to 49,125.92, 67,793.92 and 27,905.36

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Solution

The fourth proportional to 49,125.92, 67,793.92 and 27,905.36 is: 38,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,125.92 : 67,793.92 = 27,905.36 : x
  2. Step 2: Convert to fraction form
    49,125.92/67,793.92 = 27,905.36/x
  3. Step 3: Cross multiply
    49,125.92x = 67,793.92 × 27,905.36
  4. Step 4: Simplify right side
    49,125.92x = 1,891,813,743.41
  5. Step 5: Solve for x
    x = 1,891,813,743.41/49,125.92
  6. Step 6: Final answer
    x = 38,509.48

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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.