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Finding the Fourth Proportional to 33,230.39, 49,854.15 and 9,856.22

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Solution

The fourth proportional to 33,230.39, 49,854.15 and 9,856.22 is: 14,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.39 : 49,854.15 = 9,856.22 : x
  2. Step 2: Convert to fraction form
    33,230.39/49,854.15 = 9,856.22/x
  3. Step 3: Cross multiply
    33,230.39x = 49,854.15 × 9,856.22
  4. Step 4: Simplify right side
    33,230.39x = 491,373,221.04
  5. Step 5: Solve for x
    x = 491,373,221.04/33,230.39
  6. Step 6: Final answer
    x = 14,786.87

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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.