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Finding the Fourth Proportional to 31,458.72, 43,414.82 and 18,032.20

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Solution

The fourth proportional to 31,458.72, 43,414.82 and 18,032.20 is: 24,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458.72 : 43,414.82 = 18,032.20 : x
  2. Step 2: Convert to fraction form
    31,458.72/43,414.82 = 18,032.20/x
  3. Step 3: Cross multiply
    31,458.72x = 43,414.82 × 18,032.20
  4. Step 4: Simplify right side
    31,458.72x = 782,864,717.20
  5. Step 5: Solve for x
    x = 782,864,717.20/31,458.72
  6. Step 6: Final answer
    x = 24,885.46

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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.