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Finding the Fourth Proportional to 48,839.98, 67,400.64 and 27,618.82

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Solution

The fourth proportional to 48,839.98, 67,400.64 and 27,618.82 is: 38,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,839.98 : 67,400.64 = 27,618.82 : x
  2. Step 2: Convert to fraction form
    48,839.98/67,400.64 = 27,618.82/x
  3. Step 3: Cross multiply
    48,839.98x = 67,400.64 × 27,618.82
  4. Step 4: Simplify right side
    48,839.98x = 1,861,526,144.04
  5. Step 5: Solve for x
    x = 1,861,526,144.04/48,839.98
  6. Step 6: Final answer
    x = 38,114.80

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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.