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Finding the Fourth Proportional to 49,644, 68,508.96 and 27,288

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Solution

The fourth proportional to 49,644, 68,508.96 and 27,288 is: 37,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,644 : 68,508.96 = 27,288 : x
  2. Step 2: Convert to fraction form
    49,644/68,508.96 = 27,288/x
  3. Step 3: Cross multiply
    49,644x = 68,508.96 × 27,288
  4. Step 4: Simplify right side
    49,644x = 1,869,472,500.48
  5. Step 5: Solve for x
    x = 1,869,472,500.48/49,644
  6. Step 6: Final answer
    x = 37,657.57

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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.