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Finding the Fourth Proportional to 39,796.24, 54,912.72 and 23,026

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Solution

The fourth proportional to 39,796.24, 54,912.72 and 23,026 is: 31,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,796.24 : 54,912.72 = 23,026 : x
  2. Step 2: Convert to fraction form
    39,796.24/54,912.72 = 23,026/x
  3. Step 3: Cross multiply
    39,796.24x = 54,912.72 × 23,026
  4. Step 4: Simplify right side
    39,796.24x = 1,264,420,290.72
  5. Step 5: Solve for x
    x = 1,264,420,290.72/39,796.24
  6. Step 6: Final answer
    x = 31,772.36

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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.