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Finding the Fourth Proportional to 31,724.44, 43,778.52 and 17,577.52

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Solution

The fourth proportional to 31,724.44, 43,778.52 and 17,577.52 is: 24,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,724.44 : 43,778.52 = 17,577.52 : x
  2. Step 2: Convert to fraction form
    31,724.44/43,778.52 = 17,577.52/x
  3. Step 3: Cross multiply
    31,724.44x = 43,778.52 × 17,577.52
  4. Step 4: Simplify right side
    31,724.44x = 769,517,810.87
  5. Step 5: Solve for x
    x = 769,517,810.87/31,724.44
  6. Step 6: Final answer
    x = 24,256.31

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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.