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Finding the Fourth Proportional to 48,987.76, 67,601.19 and 27,766.57

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Solution

The fourth proportional to 48,987.76, 67,601.19 and 27,766.57 is: 38,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,987.76 : 67,601.19 = 27,766.57 : x
  2. Step 2: Convert to fraction form
    48,987.76/67,601.19 = 27,766.57/x
  3. Step 3: Cross multiply
    48,987.76x = 67,601.19 × 27,766.57
  4. Step 4: Simplify right side
    48,987.76x = 1,877,053,174.22
  5. Step 5: Solve for x
    x = 1,877,053,174.22/48,987.76
  6. Step 6: Final answer
    x = 38,316.78

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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.