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Finding the Fourth Proportional to 33,431.50, 50,119.30 and 13,724.20

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Solution

The fourth proportional to 33,431.50, 50,119.30 and 13,724.20 is: 20,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,431.50 : 50,119.30 = 13,724.20 : x
  2. Step 2: Convert to fraction form
    33,431.50/50,119.30 = 13,724.20/x
  3. Step 3: Cross multiply
    33,431.50x = 50,119.30 × 13,724.20
  4. Step 4: Simplify right side
    33,431.50x = 687,847,297.06
  5. Step 5: Solve for x
    x = 687,847,297.06/33,431.50
  6. Step 6: Final answer
    x = 20,574.83

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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.