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Finding the Fourth Proportional to 32,976.45, 49,464.23 and 8,016.44

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Solution

The fourth proportional to 32,976.45, 49,464.23 and 8,016.44 is: 12,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976.45 : 49,464.23 = 8,016.44 : x
  2. Step 2: Convert to fraction form
    32,976.45/49,464.23 = 8,016.44/x
  3. Step 3: Cross multiply
    32,976.45x = 49,464.23 × 8,016.44
  4. Step 4: Simplify right side
    32,976.45x = 396,526,744.54
  5. Step 5: Solve for x
    x = 396,526,744.54/32,976.45
  6. Step 6: Final answer
    x = 12,024.54

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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.