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Finding the Fourth Proportional to 33,517.26, 50,283.93 and 10,142.22

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Solution

The fourth proportional to 33,517.26, 50,283.93 and 10,142.22 is: 15,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,517.26 : 50,283.93 = 10,142.22 : x
  2. Step 2: Convert to fraction form
    33,517.26/50,283.93 = 10,142.22/x
  3. Step 3: Cross multiply
    33,517.26x = 50,283.93 × 10,142.22
  4. Step 4: Simplify right side
    33,517.26x = 509,990,680.52
  5. Step 5: Solve for x
    x = 509,990,680.52/33,517.26
  6. Step 6: Final answer
    x = 15,215.76

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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.