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Finding the Fourth Proportional to 33,142.46, 49,733.16 and 23,772.38

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Solution

The fourth proportional to 33,142.46, 49,733.16 and 23,772.38 is: 35,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.46 : 49,733.16 = 23,772.38 : x
  2. Step 2: Convert to fraction form
    33,142.46/49,733.16 = 23,772.38/x
  3. Step 3: Cross multiply
    33,142.46x = 49,733.16 × 23,772.38
  4. Step 4: Simplify right side
    33,142.46x = 1,182,275,578.12
  5. Step 5: Solve for x
    x = 1,182,275,578.12/33,142.46
  6. Step 6: Final answer
    x = 35,672.54

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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.