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Finding the Fourth Proportional to 34,051.94, 51,082.66 and 11,862.05

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Solution

The fourth proportional to 34,051.94, 51,082.66 and 11,862.05 is: 17,794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,051.94 : 51,082.66 = 11,862.05 : x
  2. Step 2: Convert to fraction form
    34,051.94/51,082.66 = 11,862.05/x
  3. Step 3: Cross multiply
    34,051.94x = 51,082.66 × 11,862.05
  4. Step 4: Simplify right side
    34,051.94x = 605,945,067.05
  5. Step 5: Solve for x
    x = 605,945,067.05/34,051.94
  6. Step 6: Final answer
    x = 17,794.73

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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.