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Finding the Fourth Proportional to 29,791.72, 41,162.34 and 24,815.08

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Solution

The fourth proportional to 29,791.72, 41,162.34 and 24,815.08 is: 34,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,791.72 : 41,162.34 = 24,815.08 : x
  2. Step 2: Convert to fraction form
    29,791.72/41,162.34 = 24,815.08/x
  3. Step 3: Cross multiply
    29,791.72x = 41,162.34 × 24,815.08
  4. Step 4: Simplify right side
    29,791.72x = 1,021,446,760.09
  5. Step 5: Solve for x
    x = 1,021,446,760.09/29,791.72
  6. Step 6: Final answer
    x = 34,286.26

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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.