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Finding the Fourth Proportional to 49,861.91, 74,617.31 and 31,150.78

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Solution

The fourth proportional to 49,861.91, 74,617.31 and 31,150.78 is: 46,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,861.91 : 74,617.31 = 31,150.78 : x
  2. Step 2: Convert to fraction form
    49,861.91/74,617.31 = 31,150.78/x
  3. Step 3: Cross multiply
    49,861.91x = 74,617.31 × 31,150.78
  4. Step 4: Simplify right side
    49,861.91x = 2,324,387,299.34
  5. Step 5: Solve for x
    x = 2,324,387,299.34/49,861.91
  6. Step 6: Final answer
    x = 46,616.49

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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.