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Finding the Fourth Proportional to 49,254.48, 67,993.56 and 31,374

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Solution

The fourth proportional to 49,254.48, 67,993.56 and 31,374 is: 43,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,254.48 : 67,993.56 = 31,374 : x
  2. Step 2: Convert to fraction form
    49,254.48/67,993.56 = 31,374/x
  3. Step 3: Cross multiply
    49,254.48x = 67,993.56 × 31,374
  4. Step 4: Simplify right side
    49,254.48x = 2,133,229,951.44
  5. Step 5: Solve for x
    x = 2,133,229,951.44/49,254.48
  6. Step 6: Final answer
    x = 43,310.37

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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.