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Finding the Fourth Proportional to 49,344, 73,998.78 and 16,057.86

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Solution

The fourth proportional to 49,344, 73,998.78 and 16,057.86 is: 24,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344 : 73,998.78 = 16,057.86 : x
  2. Step 2: Convert to fraction form
    49,344/73,998.78 = 16,057.86/x
  3. Step 3: Cross multiply
    49,344x = 73,998.78 × 16,057.86
  4. Step 4: Simplify right side
    49,344x = 1,188,262,049.41
  5. Step 5: Solve for x
    x = 1,188,262,049.41/49,344
  6. Step 6: Final answer
    x = 24,081.19

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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.