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Finding the Fourth Proportional to 33,548.99, 50,324.49 and 13,829.13

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Solution

The fourth proportional to 33,548.99, 50,324.49 and 13,829.13 is: 20,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,548.99 : 50,324.49 = 13,829.13 : x
  2. Step 2: Convert to fraction form
    33,548.99/50,324.49 = 13,829.13/x
  3. Step 3: Cross multiply
    33,548.99x = 50,324.49 × 13,829.13
  4. Step 4: Simplify right side
    33,548.99x = 695,943,914.39
  5. Step 5: Solve for x
    x = 695,943,914.39/33,548.99
  6. Step 6: Final answer
    x = 20,744.11

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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.