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Finding the Fourth Proportional to 33,230.33, 49,845.49 and 9,856.57

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Solution

The fourth proportional to 33,230.33, 49,845.49 and 9,856.57 is: 14,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.33 : 49,845.49 = 9,856.57 : x
  2. Step 2: Convert to fraction form
    33,230.33/49,845.49 = 9,856.57/x
  3. Step 3: Cross multiply
    33,230.33x = 49,845.49 × 9,856.57
  4. Step 4: Simplify right side
    33,230.33x = 491,305,312.14
  5. Step 5: Solve for x
    x = 491,305,312.14/33,230.33
  6. Step 6: Final answer
    x = 14,784.85

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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.