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Finding the Fourth Proportional to 33,555.81, 50,343.44 and 13,824.21

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Solution

The fourth proportional to 33,555.81, 50,343.44 and 13,824.21 is: 20,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,555.81 : 50,343.44 = 13,824.21 : x
  2. Step 2: Convert to fraction form
    33,555.81/50,343.44 = 13,824.21/x
  3. Step 3: Cross multiply
    33,555.81x = 50,343.44 × 13,824.21
  4. Step 4: Simplify right side
    33,555.81x = 695,958,217.56
  5. Step 5: Solve for x
    x = 695,958,217.56/33,555.81
  6. Step 6: Final answer
    x = 20,740.32

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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.