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Finding the Fourth Proportional to 32,767.20, 49,151.07 and 20,323.44

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Solution

The fourth proportional to 32,767.20, 49,151.07 and 20,323.44 is: 30,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.20 : 49,151.07 = 20,323.44 : x
  2. Step 2: Convert to fraction form
    32,767.20/49,151.07 = 20,323.44/x
  3. Step 3: Cross multiply
    32,767.20x = 49,151.07 × 20,323.44
  4. Step 4: Simplify right side
    32,767.20x = 998,918,822.08
  5. Step 5: Solve for x
    x = 998,918,822.08/32,767.20
  6. Step 6: Final answer
    x = 30,485.33

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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.