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Finding the Fourth Proportional to 33,757.22, 50,642.99 and 11,564.64

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Solution

The fourth proportional to 33,757.22, 50,642.99 and 11,564.64 is: 17,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,757.22 : 50,642.99 = 11,564.64 : x
  2. Step 2: Convert to fraction form
    33,757.22/50,642.99 = 11,564.64/x
  3. Step 3: Cross multiply
    33,757.22x = 50,642.99 × 11,564.64
  4. Step 4: Simplify right side
    33,757.22x = 585,667,933.42
  5. Step 5: Solve for x
    x = 585,667,933.42/33,757.22
  6. Step 6: Final answer
    x = 17,349.41

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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.