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Finding the Fourth Proportional to 49,176.92, 67,863.42 and 27,665.04

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Solution

The fourth proportional to 49,176.92, 67,863.42 and 27,665.04 is: 38,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,176.92 : 67,863.42 = 27,665.04 : x
  2. Step 2: Convert to fraction form
    49,176.92/67,863.42 = 27,665.04/x
  3. Step 3: Cross multiply
    49,176.92x = 67,863.42 × 27,665.04
  4. Step 4: Simplify right side
    49,176.92x = 1,877,444,228.84
  5. Step 5: Solve for x
    x = 1,877,444,228.84/49,176.92
  6. Step 6: Final answer
    x = 38,177.34

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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.