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Finding the Fourth Proportional to 40,227.54, 55,517.16 and 22,326

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Solution

The fourth proportional to 40,227.54, 55,517.16 and 22,326 is: 30,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,227.54 : 55,517.16 = 22,326 : x
  2. Step 2: Convert to fraction form
    40,227.54/55,517.16 = 22,326/x
  3. Step 3: Cross multiply
    40,227.54x = 55,517.16 × 22,326
  4. Step 4: Simplify right side
    40,227.54x = 1,239,476,114.16
  5. Step 5: Solve for x
    x = 1,239,476,114.16/40,227.54
  6. Step 6: Final answer
    x = 30,811.63

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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.