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Finding the Fourth Proportional to 40,189.69, 55,464.90 and 22,288.19

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Solution

The fourth proportional to 40,189.69, 55,464.90 and 22,288.19 is: 30,759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,189.69 : 55,464.90 = 22,288.19 : x
  2. Step 2: Convert to fraction form
    40,189.69/55,464.90 = 22,288.19/x
  3. Step 3: Cross multiply
    40,189.69x = 55,464.90 × 22,288.19
  4. Step 4: Simplify right side
    40,189.69x = 1,236,212,229.53
  5. Step 5: Solve for x
    x = 1,236,212,229.53/40,189.69
  6. Step 6: Final answer
    x = 30,759.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.