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Finding the Fourth Proportional to 33,556.31, 50,344.19 and 13,824.71

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Solution

The fourth proportional to 33,556.31, 50,344.19 and 13,824.71 is: 20,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,556.31 : 50,344.19 = 13,824.71 : x
  2. Step 2: Convert to fraction form
    33,556.31/50,344.19 = 13,824.71/x
  3. Step 3: Cross multiply
    33,556.31x = 50,344.19 × 13,824.71
  4. Step 4: Simplify right side
    33,556.31x = 695,993,757.81
  5. Step 5: Solve for x
    x = 695,993,757.81/33,556.31
  6. Step 6: Final answer
    x = 20,741.07

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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.