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Finding the Fourth Proportional to 48,894.89, 67,463.38 and 27,674.15

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Solution

The fourth proportional to 48,894.89, 67,463.38 and 27,674.15 is: 38,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,894.89 : 67,463.38 = 27,674.15 : x
  2. Step 2: Convert to fraction form
    48,894.89/67,463.38 = 27,674.15/x
  3. Step 3: Cross multiply
    48,894.89x = 67,463.38 × 27,674.15
  4. Step 4: Simplify right side
    48,894.89x = 1,866,991,797.10
  5. Step 5: Solve for x
    x = 1,866,991,797.10/48,894.89
  6. Step 6: Final answer
    x = 38,183.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.