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Finding the Fourth Proportional to 33,157.89, 49,736.84 and 10,965.31

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Solution

The fourth proportional to 33,157.89, 49,736.84 and 10,965.31 is: 16,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157.89 : 49,736.84 = 10,965.31 : x
  2. Step 2: Convert to fraction form
    33,157.89/49,736.84 = 10,965.31/x
  3. Step 3: Cross multiply
    33,157.89x = 49,736.84 × 10,965.31
  4. Step 4: Simplify right side
    33,157.89x = 545,379,689.85
  5. Step 5: Solve for x
    x = 545,379,689.85/33,157.89
  6. Step 6: Final answer
    x = 16,447.96

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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.