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Finding the Fourth Proportional to 33,489.46, 50,231.76 and 13,500.28

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Solution

The fourth proportional to 33,489.46, 50,231.76 and 13,500.28 is: 20,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,489.46 : 50,231.76 = 13,500.28 : x
  2. Step 2: Convert to fraction form
    33,489.46/50,231.76 = 13,500.28/x
  3. Step 3: Cross multiply
    33,489.46x = 50,231.76 × 13,500.28
  4. Step 4: Simplify right side
    33,489.46x = 678,142,824.89
  5. Step 5: Solve for x
    x = 678,142,824.89/33,489.46
  6. Step 6: Final answer
    x = 20,249.44

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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.