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Finding the Fourth Proportional to 49,296, 68,028.48 and 26,940

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Solution

The fourth proportional to 49,296, 68,028.48 and 26,940 is: 37,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,296 : 68,028.48 = 26,940 : x
  2. Step 2: Convert to fraction form
    49,296/68,028.48 = 26,940/x
  3. Step 3: Cross multiply
    49,296x = 68,028.48 × 26,940
  4. Step 4: Simplify right side
    49,296x = 1,832,687,251.20
  5. Step 5: Solve for x
    x = 1,832,687,251.20/49,296
  6. Step 6: Final answer
    x = 37,177.20

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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.