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Finding the Fourth Proportional to 33,102.26, 49,652.94 and 8,142.53

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Solution

The fourth proportional to 33,102.26, 49,652.94 and 8,142.53 is: 12,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.26 : 49,652.94 = 8,142.53 : x
  2. Step 2: Convert to fraction form
    33,102.26/49,652.94 = 8,142.53/x
  3. Step 3: Cross multiply
    33,102.26x = 49,652.94 × 8,142.53
  4. Step 4: Simplify right side
    33,102.26x = 404,300,305.27
  5. Step 5: Solve for x
    x = 404,300,305.27/33,102.26
  6. Step 6: Final answer
    x = 12,213.68

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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.