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Finding the Fourth Proportional to 41,198.49, 61,823.12 and 16,234.29

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Solution

The fourth proportional to 41,198.49, 61,823.12 and 16,234.29 is: 24,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,198.49 : 61,823.12 = 16,234.29 : x
  2. Step 2: Convert to fraction form
    41,198.49/61,823.12 = 16,234.29/x
  3. Step 3: Cross multiply
    41,198.49x = 61,823.12 × 16,234.29
  4. Step 4: Simplify right side
    41,198.49x = 1,003,654,377.61
  5. Step 5: Solve for x
    x = 1,003,654,377.61/41,198.49
  6. Step 6: Final answer
    x = 24,361.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.