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Finding the Fourth Proportional to 31,687.83, 43,728.93 and 17,540.37

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Solution

The fourth proportional to 31,687.83, 43,728.93 and 17,540.37 is: 24,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.83 : 43,728.93 = 17,540.37 : x
  2. Step 2: Convert to fraction form
    31,687.83/43,728.93 = 17,540.37/x
  3. Step 3: Cross multiply
    31,687.83x = 43,728.93 × 17,540.37
  4. Step 4: Simplify right side
    31,687.83x = 767,021,611.90
  5. Step 5: Solve for x
    x = 767,021,611.90/31,687.83
  6. Step 6: Final answer
    x = 24,205.56

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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.