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Finding the Fourth Proportional to 49,183.50, 73,755.81 and 24,205.26

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Solution

The fourth proportional to 49,183.50, 73,755.81 and 24,205.26 is: 36,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,183.50 : 73,755.81 = 24,205.26 : x
  2. Step 2: Convert to fraction form
    49,183.50/73,755.81 = 24,205.26/x
  3. Step 3: Cross multiply
    49,183.50x = 73,755.81 × 24,205.26
  4. Step 4: Simplify right side
    49,183.50x = 1,785,278,557.56
  5. Step 5: Solve for x
    x = 1,785,278,557.56/49,183.50
  6. Step 6: Final answer
    x = 36,298.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.