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Finding the Fourth Proportional to 54,791.64, 82,128.48 and 23,194.32

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Solution

The fourth proportional to 54,791.64, 82,128.48 and 23,194.32 is: 34,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,791.64 : 82,128.48 = 23,194.32 : x
  2. Step 2: Convert to fraction form
    54,791.64/82,128.48 = 23,194.32/x
  3. Step 3: Cross multiply
    54,791.64x = 82,128.48 × 23,194.32
  4. Step 4: Simplify right side
    54,791.64x = 1,904,914,246.23
  5. Step 5: Solve for x
    x = 1,904,914,246.23/54,791.64
  6. Step 6: Final answer
    x = 34,766.51

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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.