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Finding the Fourth Proportional to 33,085.26, 49,617.09 and 10,893.42

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Solution

The fourth proportional to 33,085.26, 49,617.09 and 10,893.42 is: 16,336.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.26 : 49,617.09 = 10,893.42 : x
  2. Step 2: Convert to fraction form
    33,085.26/49,617.09 = 10,893.42/x
  3. Step 3: Cross multiply
    33,085.26x = 49,617.09 × 10,893.42
  4. Step 4: Simplify right side
    33,085.26x = 540,499,800.55
  5. Step 5: Solve for x
    x = 540,499,800.55/33,085.26
  6. Step 6: Final answer
    x = 16,336.57

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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.