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Finding the Fourth Proportional to 69,833.44, 104,766.54 and 23,086

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Solution

The fourth proportional to 69,833.44, 104,766.54 and 23,086 is: 34,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,833.44 : 104,766.54 = 23,086 : x
  2. Step 2: Convert to fraction form
    69,833.44/104,766.54 = 23,086/x
  3. Step 3: Cross multiply
    69,833.44x = 104,766.54 × 23,086
  4. Step 4: Simplify right side
    69,833.44x = 2,418,640,342.44
  5. Step 5: Solve for x
    x = 2,418,640,342.44/69,833.44
  6. Step 6: Final answer
    x = 34,634.42

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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.