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Finding the Fourth Proportional to 32,614.30, 48,815.34 and 17,786.44

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Solution

The fourth proportional to 32,614.30, 48,815.34 and 17,786.44 is: 26,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614.30 : 48,815.34 = 17,786.44 : x
  2. Step 2: Convert to fraction form
    32,614.30/48,815.34 = 17,786.44/x
  3. Step 3: Cross multiply
    32,614.30x = 48,815.34 × 17,786.44
  4. Step 4: Simplify right side
    32,614.30x = 868,251,115.99
  5. Step 5: Solve for x
    x = 868,251,115.99/32,614.30
  6. Step 6: Final answer
    x = 26,621.79

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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.