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Finding the Fourth Proportional to 32,183.72, 48,273.17 and 16,378.88

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Solution

The fourth proportional to 32,183.72, 48,273.17 and 16,378.88 is: 24,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,183.72 : 48,273.17 = 16,378.88 : x
  2. Step 2: Convert to fraction form
    32,183.72/48,273.17 = 16,378.88/x
  3. Step 3: Cross multiply
    32,183.72x = 48,273.17 × 16,378.88
  4. Step 4: Simplify right side
    32,183.72x = 790,660,458.65
  5. Step 5: Solve for x
    x = 790,660,458.65/32,183.72
  6. Step 6: Final answer
    x = 24,567.09

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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.