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Finding the Fourth Proportional to 33,189.45, 49,793.90 and 9,816.49

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Solution

The fourth proportional to 33,189.45, 49,793.90 and 9,816.49 is: 14,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.45 : 49,793.90 = 9,816.49 : x
  2. Step 2: Convert to fraction form
    33,189.45/49,793.90 = 9,816.49/x
  3. Step 3: Cross multiply
    33,189.45x = 49,793.90 × 9,816.49
  4. Step 4: Simplify right side
    33,189.45x = 488,801,321.41
  5. Step 5: Solve for x
    x = 488,801,321.41/33,189.45
  6. Step 6: Final answer
    x = 14,727.61

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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.