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Finding the Fourth Proportional to 49,489.47, 68,283.68 and 27,979.65

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Solution

The fourth proportional to 49,489.47, 68,283.68 and 27,979.65 is: 38,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,489.47 : 68,283.68 = 27,979.65 : x
  2. Step 2: Convert to fraction form
    49,489.47/68,283.68 = 27,979.65/x
  3. Step 3: Cross multiply
    49,489.47x = 68,283.68 × 27,979.65
  4. Step 4: Simplify right side
    49,489.47x = 1,910,553,327.21
  5. Step 5: Solve for x
    x = 1,910,553,327.21/49,489.47
  6. Step 6: Final answer
    x = 38,605.25

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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.