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Finding the Fourth Proportional to 41,678.34, 62,504.46 and 12,098.22

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Solution

The fourth proportional to 41,678.34, 62,504.46 and 12,098.22 is: 18,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,678.34 : 62,504.46 = 12,098.22 : x
  2. Step 2: Convert to fraction form
    41,678.34/62,504.46 = 12,098.22/x
  3. Step 3: Cross multiply
    41,678.34x = 62,504.46 × 12,098.22
  4. Step 4: Simplify right side
    41,678.34x = 756,192,708.06
  5. Step 5: Solve for x
    x = 756,192,708.06/41,678.34
  6. Step 6: Final answer
    x = 18,143.54

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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.