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Finding the Fourth Proportional to 32,843.56, 49,265.34 and 8,219.56

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Solution

The fourth proportional to 32,843.56, 49,265.34 and 8,219.56 is: 12,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.56 : 49,265.34 = 8,219.56 : x
  2. Step 2: Convert to fraction form
    32,843.56/49,265.34 = 8,219.56/x
  3. Step 3: Cross multiply
    32,843.56x = 49,265.34 × 8,219.56
  4. Step 4: Simplify right side
    32,843.56x = 404,939,418.05
  5. Step 5: Solve for x
    x = 404,939,418.05/32,843.56
  6. Step 6: Final answer
    x = 12,329.34

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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.