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Finding the Fourth Proportional to 31,685.56, 43,727 and 17,539.72

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Solution

The fourth proportional to 31,685.56, 43,727 and 17,539.72 is: 24,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,685.56 : 43,727 = 17,539.72 : x
  2. Step 2: Convert to fraction form
    31,685.56/43,727 = 17,539.72/x
  3. Step 3: Cross multiply
    31,685.56x = 43,727 × 17,539.72
  4. Step 4: Simplify right side
    31,685.56x = 766,959,336.44
  5. Step 5: Solve for x
    x = 766,959,336.44/31,685.56
  6. Step 6: Final answer
    x = 24,205.33

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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.