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Finding the Fourth Proportional to 33,538.88, 50,242.58 and 19,469.40

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Solution

The fourth proportional to 33,538.88, 50,242.58 and 19,469.40 is: 29,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.88 : 50,242.58 = 19,469.40 : x
  2. Step 2: Convert to fraction form
    33,538.88/50,242.58 = 19,469.40/x
  3. Step 3: Cross multiply
    33,538.88x = 50,242.58 × 19,469.40
  4. Step 4: Simplify right side
    33,538.88x = 978,192,887.05
  5. Step 5: Solve for x
    x = 978,192,887.05/33,538.88
  6. Step 6: Final answer
    x = 29,165.94

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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.