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Finding the Fourth Proportional to 33,190.67, 49,778.15 and 9,497.49

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Solution

The fourth proportional to 33,190.67, 49,778.15 and 9,497.49 is: 14,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,190.67 : 49,778.15 = 9,497.49 : x
  2. Step 2: Convert to fraction form
    33,190.67/49,778.15 = 9,497.49/x
  3. Step 3: Cross multiply
    33,190.67x = 49,778.15 × 9,497.49
  4. Step 4: Simplify right side
    33,190.67x = 472,767,481.84
  5. Step 5: Solve for x
    x = 472,767,481.84/33,190.67
  6. Step 6: Final answer
    x = 14,243.99

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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.