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Finding the Fourth Proportional to 49,179.56, 67,867.62 and 27,958.82

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Solution

The fourth proportional to 49,179.56, 67,867.62 and 27,958.82 is: 38,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,179.56 : 67,867.62 = 27,958.82 : x
  2. Step 2: Convert to fraction form
    49,179.56/67,867.62 = 27,958.82/x
  3. Step 3: Cross multiply
    49,179.56x = 67,867.62 × 27,958.82
  4. Step 4: Simplify right side
    49,179.56x = 1,897,498,571.41
  5. Step 5: Solve for x
    x = 1,897,498,571.41/49,179.56
  6. Step 6: Final answer
    x = 38,583.07

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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.