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Finding the Fourth Proportional to 32,382.20, 48,578.84 and 14,853.53

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Solution

The fourth proportional to 32,382.20, 48,578.84 and 14,853.53 is: 22,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382.20 : 48,578.84 = 14,853.53 : x
  2. Step 2: Convert to fraction form
    32,382.20/48,578.84 = 14,853.53/x
  3. Step 3: Cross multiply
    32,382.20x = 48,578.84 × 14,853.53
  4. Step 4: Simplify right side
    32,382.20x = 721,566,940.14
  5. Step 5: Solve for x
    x = 721,566,940.14/32,382.20
  6. Step 6: Final answer
    x = 22,282.83

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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.