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Finding the Fourth Proportional to 33,109.89, 49,665.33 and 8,149.92

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Solution

The fourth proportional to 33,109.89, 49,665.33 and 8,149.92 is: 12,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,109.89 : 49,665.33 = 8,149.92 : x
  2. Step 2: Convert to fraction form
    33,109.89/49,665.33 = 8,149.92/x
  3. Step 3: Cross multiply
    33,109.89x = 49,665.33 × 8,149.92
  4. Step 4: Simplify right side
    33,109.89x = 404,768,257.11
  5. Step 5: Solve for x
    x = 404,768,257.11/33,109.89
  6. Step 6: Final answer
    x = 12,225.00

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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.