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Finding the Fourth Proportional to 40,195.31, 55,468.66 and 23,198.22

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Solution

The fourth proportional to 40,195.31, 55,468.66 and 23,198.22 is: 32,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,195.31 : 55,468.66 = 23,198.22 : x
  2. Step 2: Convert to fraction form
    40,195.31/55,468.66 = 23,198.22/x
  3. Step 3: Cross multiply
    40,195.31x = 55,468.66 × 23,198.22
  4. Step 4: Simplify right side
    40,195.31x = 1,286,774,177.79
  5. Step 5: Solve for x
    x = 1,286,774,177.79/40,195.31
  6. Step 6: Final answer
    x = 32,013.04

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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.