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Finding the Fourth Proportional to 49,175.44, 67,867.84 and 27,957.88

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Solution

The fourth proportional to 49,175.44, 67,867.84 and 27,957.88 is: 38,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,175.44 : 67,867.84 = 27,957.88 : x
  2. Step 2: Convert to fraction form
    49,175.44/67,867.84 = 27,957.88/x
  3. Step 3: Cross multiply
    49,175.44x = 67,867.84 × 27,957.88
  4. Step 4: Simplify right side
    49,175.44x = 1,897,440,926.58
  5. Step 5: Solve for x
    x = 1,897,440,926.58/49,175.44
  6. Step 6: Final answer
    x = 38,585.13

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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.