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Finding the Fourth Proportional to 41,414.30, 62,122.02 and 11,833.10

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Solution

The fourth proportional to 41,414.30, 62,122.02 and 11,833.10 is: 17,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,414.30 : 62,122.02 = 11,833.10 : x
  2. Step 2: Convert to fraction form
    41,414.30/62,122.02 = 11,833.10/x
  3. Step 3: Cross multiply
    41,414.30x = 62,122.02 × 11,833.10
  4. Step 4: Simplify right side
    41,414.30x = 735,096,074.86
  5. Step 5: Solve for x
    x = 735,096,074.86/41,414.30
  6. Step 6: Final answer
    x = 17,749.81

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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.