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Finding the Fourth Proportional to 49,781.44, 68,698.36 and 27,425.44

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Solution

The fourth proportional to 49,781.44, 68,698.36 and 27,425.44 is: 37,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,781.44 : 68,698.36 = 27,425.44 : x
  2. Step 2: Convert to fraction form
    49,781.44/68,698.36 = 27,425.44/x
  3. Step 3: Cross multiply
    49,781.44x = 68,698.36 × 27,425.44
  4. Step 4: Simplify right side
    49,781.44x = 1,884,082,750.28
  5. Step 5: Solve for x
    x = 1,884,082,750.28/49,781.44
  6. Step 6: Final answer
    x = 37,847.09

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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.