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Finding the Fourth Proportional to 33,164.87, 49,747.19 and 13,443.37

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Solution

The fourth proportional to 33,164.87, 49,747.19 and 13,443.37 is: 20,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.87 : 49,747.19 = 13,443.37 : x
  2. Step 2: Convert to fraction form
    33,164.87/49,747.19 = 13,443.37/x
  3. Step 3: Cross multiply
    33,164.87x = 49,747.19 × 13,443.37
  4. Step 4: Simplify right side
    33,164.87x = 668,769,727.85
  5. Step 5: Solve for x
    x = 668,769,727.85/33,164.87
  6. Step 6: Final answer
    x = 20,165.01

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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.