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Finding the Fourth Proportional to 48,805.20, 67,345.59 and 27,584.40

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Solution

The fourth proportional to 48,805.20, 67,345.59 and 27,584.40 is: 38,063.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,805.20 : 67,345.59 = 27,584.40 : x
  2. Step 2: Convert to fraction form
    48,805.20/67,345.59 = 27,584.40/x
  3. Step 3: Cross multiply
    48,805.20x = 67,345.59 × 27,584.40
  4. Step 4: Simplify right side
    48,805.20x = 1,857,687,692.80
  5. Step 5: Solve for x
    x = 1,857,687,692.80/48,805.20
  6. Step 6: Final answer
    x = 38,063.31

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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.