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Finding the Fourth Proportional to 41,678.50, 62,517.75 and 12,494.50

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Solution

The fourth proportional to 41,678.50, 62,517.75 and 12,494.50 is: 18,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,678.50 : 62,517.75 = 12,494.50 : x
  2. Step 2: Convert to fraction form
    41,678.50/62,517.75 = 12,494.50/x
  3. Step 3: Cross multiply
    41,678.50x = 62,517.75 × 12,494.50
  4. Step 4: Simplify right side
    41,678.50x = 781,128,027.38
  5. Step 5: Solve for x
    x = 781,128,027.38/41,678.50
  6. Step 6: Final answer
    x = 18,741.75

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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.