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Finding the Fourth Proportional to 49,179.74, 67,873.81 and 27,962.20

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Solution

The fourth proportional to 49,179.74, 67,873.81 and 27,962.20 is: 38,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,179.74 : 67,873.81 = 27,962.20 : x
  2. Step 2: Convert to fraction form
    49,179.74/67,873.81 = 27,962.20/x
  3. Step 3: Cross multiply
    49,179.74x = 67,873.81 × 27,962.20
  4. Step 4: Simplify right side
    49,179.74x = 1,897,900,810.39
  5. Step 5: Solve for x
    x = 1,897,900,810.39/49,179.74
  6. Step 6: Final answer
    x = 38,591.11

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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.