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Finding the Fourth Proportional to 41,431.86, 62,148.42 and 10,267.14

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Solution

The fourth proportional to 41,431.86, 62,148.42 and 10,267.14 is: 15,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,431.86 : 62,148.42 = 10,267.14 : x
  2. Step 2: Convert to fraction form
    41,431.86/62,148.42 = 10,267.14/x
  3. Step 3: Cross multiply
    41,431.86x = 62,148.42 × 10,267.14
  4. Step 4: Simplify right side
    41,431.86x = 638,086,528.92
  5. Step 5: Solve for x
    x = 638,086,528.92/41,431.86
  6. Step 6: Final answer
    x = 15,400.87

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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.