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Finding the Fourth Proportional to 33,183.86, 49,781.91 and 9,490.42

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Solution

The fourth proportional to 33,183.86, 49,781.91 and 9,490.42 is: 14,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,183.86 : 49,781.91 = 9,490.42 : x
  2. Step 2: Convert to fraction form
    33,183.86/49,781.91 = 9,490.42/x
  3. Step 3: Cross multiply
    33,183.86x = 49,781.91 × 9,490.42
  4. Step 4: Simplify right side
    33,183.86x = 472,451,234.30
  5. Step 5: Solve for x
    x = 472,451,234.30/33,183.86
  6. Step 6: Final answer
    x = 14,237.38

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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.