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Finding the Fourth Proportional to 33,123.02, 49,684.66 and 8,163.68

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Solution

The fourth proportional to 33,123.02, 49,684.66 and 8,163.68 is: 12,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,123.02 : 49,684.66 = 8,163.68 : x
  2. Step 2: Convert to fraction form
    33,123.02/49,684.66 = 8,163.68/x
  3. Step 3: Cross multiply
    33,123.02x = 49,684.66 × 8,163.68
  4. Step 4: Simplify right side
    33,123.02x = 405,609,665.15
  5. Step 5: Solve for x
    x = 405,609,665.15/33,123.02
  6. Step 6: Final answer
    x = 12,245.55

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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.