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Finding the Fourth Proportional to 49,493.48, 68,301.70 and 27,137

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Solution

The fourth proportional to 49,493.48, 68,301.70 and 27,137 is: 37,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,493.48 : 68,301.70 = 27,137 : x
  2. Step 2: Convert to fraction form
    49,493.48/68,301.70 = 27,137/x
  3. Step 3: Cross multiply
    49,493.48x = 68,301.70 × 27,137
  4. Step 4: Simplify right side
    49,493.48x = 1,853,503,232.90
  5. Step 5: Solve for x
    x = 1,853,503,232.90/49,493.48
  6. Step 6: Final answer
    x = 37,449.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.