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Finding the Fourth Proportional to 33,895.26, 50,842.90 and 9,271.26

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Solution

The fourth proportional to 33,895.26, 50,842.90 and 9,271.26 is: 13,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,895.26 : 50,842.90 = 9,271.26 : x
  2. Step 2: Convert to fraction form
    33,895.26/50,842.90 = 9,271.26/x
  3. Step 3: Cross multiply
    33,895.26x = 50,842.90 × 9,271.26
  4. Step 4: Simplify right side
    33,895.26x = 471,377,745.05
  5. Step 5: Solve for x
    x = 471,377,745.05/33,895.26
  6. Step 6: Final answer
    x = 13,906.89

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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.