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Finding the Fourth Proportional to 31,704.48, 43,724.88 and 19,755.36

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Solution

The fourth proportional to 31,704.48, 43,724.88 and 19,755.36 is: 27,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.48 : 43,724.88 = 19,755.36 : x
  2. Step 2: Convert to fraction form
    31,704.48/43,724.88 = 19,755.36/x
  3. Step 3: Cross multiply
    31,704.48x = 43,724.88 × 19,755.36
  4. Step 4: Simplify right side
    31,704.48x = 863,800,745.36
  5. Step 5: Solve for x
    x = 863,800,745.36/31,704.48
  6. Step 6: Final answer
    x = 27,245.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.