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Finding the Fourth Proportional to 33,014.24, 49,535.97 and 13,331.24

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Solution

The fourth proportional to 33,014.24, 49,535.97 and 13,331.24 is: 20,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,014.24 : 49,535.97 = 13,331.24 : x
  2. Step 2: Convert to fraction form
    33,014.24/49,535.97 = 13,331.24/x
  3. Step 3: Cross multiply
    33,014.24x = 49,535.97 × 13,331.24
  4. Step 4: Simplify right side
    33,014.24x = 660,375,904.70
  5. Step 5: Solve for x
    x = 660,375,904.70/33,014.24
  6. Step 6: Final answer
    x = 20,002.76

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