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Finding the Fourth Proportional to 33,704.50, 50,562.69 and 11,512.68

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Solution

The fourth proportional to 33,704.50, 50,562.69 and 11,512.68 is: 17,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,704.50 : 50,562.69 = 11,512.68 : x
  2. Step 2: Convert to fraction form
    33,704.50/50,562.69 = 11,512.68/x
  3. Step 3: Cross multiply
    33,704.50x = 50,562.69 × 11,512.68
  4. Step 4: Simplify right side
    33,704.50x = 582,112,069.91
  5. Step 5: Solve for x
    x = 582,112,069.91/33,704.50
  6. Step 6: Final answer
    x = 17,271.05

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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.