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Finding the Fourth Proportional to 34,067.38, 51,082.54 and 11,874.80

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Solution

The fourth proportional to 34,067.38, 51,082.54 and 11,874.80 is: 17,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,067.38 : 51,082.54 = 11,874.80 : x
  2. Step 2: Convert to fraction form
    34,067.38/51,082.54 = 11,874.80/x
  3. Step 3: Cross multiply
    34,067.38x = 51,082.54 × 11,874.80
  4. Step 4: Simplify right side
    34,067.38x = 606,594,945.99
  5. Step 5: Solve for x
    x = 606,594,945.99/34,067.38
  6. Step 6: Final answer
    x = 17,805.74

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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.