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Finding the Fourth Proportional to 33,704.61, 50,562.87 and 11,512.80

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Solution

The fourth proportional to 33,704.61, 50,562.87 and 11,512.80 is: 17,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,704.61 : 50,562.87 = 11,512.80 : x
  2. Step 2: Convert to fraction form
    33,704.61/50,562.87 = 11,512.80/x
  3. Step 3: Cross multiply
    33,704.61x = 50,562.87 × 11,512.80
  4. Step 4: Simplify right side
    33,704.61x = 582,120,209.74
  5. Step 5: Solve for x
    x = 582,120,209.74/33,704.61
  6. Step 6: Final answer
    x = 17,271.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.