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Finding the Fourth Proportional to 33,876.26, 50,821.44 and 10,182.86

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Solution

The fourth proportional to 33,876.26, 50,821.44 and 10,182.86 is: 15,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,876.26 : 50,821.44 = 10,182.86 : x
  2. Step 2: Convert to fraction form
    33,876.26/50,821.44 = 10,182.86/x
  3. Step 3: Cross multiply
    33,876.26x = 50,821.44 × 10,182.86
  4. Step 4: Simplify right side
    33,876.26x = 517,507,608.52
  5. Step 5: Solve for x
    x = 517,507,608.52/33,876.26
  6. Step 6: Final answer
    x = 15,276.41

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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.