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Finding the Fourth Proportional to 31,517.82, 43,489.44 and 17,905.32

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Solution

The fourth proportional to 31,517.82, 43,489.44 and 17,905.32 is: 24,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517.82 : 43,489.44 = 17,905.32 : x
  2. Step 2: Convert to fraction form
    31,517.82/43,489.44 = 17,905.32/x
  3. Step 3: Cross multiply
    31,517.82x = 43,489.44 × 17,905.32
  4. Step 4: Simplify right side
    31,517.82x = 778,692,339.82
  5. Step 5: Solve for x
    x = 778,692,339.82/31,517.82
  6. Step 6: Final answer
    x = 24,706.41

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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.