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Finding the Fourth Proportional to 49,807.44, 68,734.26 and 27,451.44

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Solution

The fourth proportional to 49,807.44, 68,734.26 and 27,451.44 is: 37,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,807.44 : 68,734.26 = 27,451.44 : x
  2. Step 2: Convert to fraction form
    49,807.44/68,734.26 = 27,451.44/x
  3. Step 3: Cross multiply
    49,807.44x = 68,734.26 × 27,451.44
  4. Step 4: Simplify right side
    49,807.44x = 1,886,854,414.33
  5. Step 5: Solve for x
    x = 1,886,854,414.33/49,807.44
  6. Step 6: Final answer
    x = 37,882.98

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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.