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Finding the Fourth Proportional to 49,164.75, 67,853.17 and 27,947.20

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Solution

The fourth proportional to 49,164.75, 67,853.17 and 27,947.20 is: 38,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,164.75 : 67,853.17 = 27,947.20 : x
  2. Step 2: Convert to fraction form
    49,164.75/67,853.17 = 27,947.20/x
  3. Step 3: Cross multiply
    49,164.75x = 67,853.17 × 27,947.20
  4. Step 4: Simplify right side
    49,164.75x = 1,896,306,112.62
  5. Step 5: Solve for x
    x = 1,896,306,112.62/49,164.75
  6. Step 6: Final answer
    x = 38,570.44

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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.