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Finding the Fourth Proportional to 31,452.41, 43,397.19 and 22,959.16

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Solution

The fourth proportional to 31,452.41, 43,397.19 and 22,959.16 is: 31,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,452.41 : 43,397.19 = 22,959.16 : x
  2. Step 2: Convert to fraction form
    31,452.41/43,397.19 = 22,959.16/x
  3. Step 3: Cross multiply
    31,452.41x = 43,397.19 × 22,959.16
  4. Step 4: Simplify right side
    31,452.41x = 996,363,028.76
  5. Step 5: Solve for x
    x = 996,363,028.76/31,452.41
  6. Step 6: Final answer
    x = 31,678.43

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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.