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Finding the Fourth Proportional to 49,540, 68,365.20 and 27,185.44

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Solution

The fourth proportional to 49,540, 68,365.20 and 27,185.44 is: 37,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,540 : 68,365.20 = 27,185.44 : x
  2. Step 2: Convert to fraction form
    49,540/68,365.20 = 27,185.44/x
  3. Step 3: Cross multiply
    49,540x = 68,365.20 × 27,185.44
  4. Step 4: Simplify right side
    49,540x = 1,858,538,042.69
  5. Step 5: Solve for x
    x = 1,858,538,042.69/49,540
  6. Step 6: Final answer
    x = 37,515.91

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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.