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Finding the Fourth Proportional to 49,061.09, 67,702.42 and 27,839.09

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Solution

The fourth proportional to 49,061.09, 67,702.42 and 27,839.09 is: 38,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,061.09 : 67,702.42 = 27,839.09 : x
  2. Step 2: Convert to fraction form
    49,061.09/67,702.42 = 27,839.09/x
  3. Step 3: Cross multiply
    49,061.09x = 67,702.42 × 27,839.09
  4. Step 4: Simplify right side
    49,061.09x = 1,884,773,763.60
  5. Step 5: Solve for x
    x = 1,884,773,763.60/49,061.09
  6. Step 6: Final answer
    x = 38,416.88

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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.