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Finding the Fourth Proportional to 30,233.67, 45,350.97 and 11,514.75

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Solution

The fourth proportional to 30,233.67, 45,350.97 and 11,514.75 is: 17,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.67 : 45,350.97 = 11,514.75 : x
  2. Step 2: Convert to fraction form
    30,233.67/45,350.97 = 11,514.75/x
  3. Step 3: Cross multiply
    30,233.67x = 45,350.97 × 11,514.75
  4. Step 4: Simplify right side
    30,233.67x = 522,204,855.05
  5. Step 5: Solve for x
    x = 522,204,855.05/30,233.67
  6. Step 6: Final answer
    x = 17,272.29

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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.