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Finding the Fourth Proportional to 48,833.97, 67,387.19 and 27,615.21

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Solution

The fourth proportional to 48,833.97, 67,387.19 and 27,615.21 is: 38,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,833.97 : 67,387.19 = 27,615.21 : x
  2. Step 2: Convert to fraction form
    48,833.97/67,387.19 = 27,615.21/x
  3. Step 3: Cross multiply
    48,833.97x = 67,387.19 × 27,615.21
  4. Step 4: Simplify right side
    48,833.97x = 1,860,911,265.08
  5. Step 5: Solve for x
    x = 1,860,911,265.08/48,833.97
  6. Step 6: Final answer
    x = 38,106.90

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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.