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Finding the Fourth Proportional to 49,132.71, 67,794.98 and 27,904.23

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Solution

The fourth proportional to 49,132.71, 67,794.98 and 27,904.23 is: 38,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,132.71 : 67,794.98 = 27,904.23 : x
  2. Step 2: Convert to fraction form
    49,132.71/67,794.98 = 27,904.23/x
  3. Step 3: Cross multiply
    49,132.71x = 67,794.98 × 27,904.23
  4. Step 4: Simplify right side
    49,132.71x = 1,891,766,575.24
  5. Step 5: Solve for x
    x = 1,891,766,575.24/49,132.71
  6. Step 6: Final answer
    x = 38,503.20

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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.