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Finding the Fourth Proportional to 33,825.68, 50,737.26 and 10,452.08

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Solution

The fourth proportional to 33,825.68, 50,737.26 and 10,452.08 is: 15,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,825.68 : 50,737.26 = 10,452.08 : x
  2. Step 2: Convert to fraction form
    33,825.68/50,737.26 = 10,452.08/x
  3. Step 3: Cross multiply
    33,825.68x = 50,737.26 × 10,452.08
  4. Step 4: Simplify right side
    33,825.68x = 530,309,900.50
  5. Step 5: Solve for x
    x = 530,309,900.50/33,825.68
  6. Step 6: Final answer
    x = 15,677.73

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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.