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Finding the Fourth Proportional to 49,549, 68,377.62 and 27,194.44

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Solution

The fourth proportional to 49,549, 68,377.62 and 27,194.44 is: 37,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,549 : 68,377.62 = 27,194.44 : x
  2. Step 2: Convert to fraction form
    49,549/68,377.62 = 27,194.44/x
  3. Step 3: Cross multiply
    49,549x = 68,377.62 × 27,194.44
  4. Step 4: Simplify right side
    49,549x = 1,859,491,084.43
  5. Step 5: Solve for x
    x = 1,859,491,084.43/49,549
  6. Step 6: Final answer
    x = 37,528.33

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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.