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Finding the Fourth Proportional to 71,183.74, 106,785.42 and 24,430.54

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Solution

The fourth proportional to 71,183.74, 106,785.42 and 24,430.54 is: 36,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,183.74 : 106,785.42 = 24,430.54 : x
  2. Step 2: Convert to fraction form
    71,183.74/106,785.42 = 24,430.54/x
  3. Step 3: Cross multiply
    71,183.74x = 106,785.42 × 24,430.54
  4. Step 4: Simplify right side
    71,183.74x = 2,608,825,474.73
  5. Step 5: Solve for x
    x = 2,608,825,474.73/71,183.74
  6. Step 6: Final answer
    x = 36,649.18

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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.