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Finding the Fourth Proportional to 41,781.30, 62,675.19 and 12,198.48

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Solution

The fourth proportional to 41,781.30, 62,675.19 and 12,198.48 is: 18,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,781.30 : 62,675.19 = 12,198.48 : x
  2. Step 2: Convert to fraction form
    41,781.30/62,675.19 = 12,198.48/x
  3. Step 3: Cross multiply
    41,781.30x = 62,675.19 × 12,198.48
  4. Step 4: Simplify right side
    41,781.30x = 764,542,051.71
  5. Step 5: Solve for x
    x = 764,542,051.71/41,781.30
  6. Step 6: Final answer
    x = 18,298.67

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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.