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Finding the Fourth Proportional to 31,214.62, 43,076.11 and 16,874.46

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Solution

The fourth proportional to 31,214.62, 43,076.11 and 16,874.46 is: 23,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214.62 : 43,076.11 = 16,874.46 : x
  2. Step 2: Convert to fraction form
    31,214.62/43,076.11 = 16,874.46/x
  3. Step 3: Cross multiply
    31,214.62x = 43,076.11 × 16,874.46
  4. Step 4: Simplify right side
    31,214.62x = 726,885,879.77
  5. Step 5: Solve for x
    x = 726,885,879.77/31,214.62
  6. Step 6: Final answer
    x = 23,286.72

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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.