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Finding the Fourth Proportional to 30,154.22, 45,195 and 11,163.68

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Solution

The fourth proportional to 30,154.22, 45,195 and 11,163.68 is: 16,732.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154.22 : 45,195 = 11,163.68 : x
  2. Step 2: Convert to fraction form
    30,154.22/45,195 = 11,163.68/x
  3. Step 3: Cross multiply
    30,154.22x = 45,195 × 11,163.68
  4. Step 4: Simplify right side
    30,154.22x = 504,542,517.60
  5. Step 5: Solve for x
    x = 504,542,517.60/30,154.22
  6. Step 6: Final answer
    x = 16,732.07

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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.