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Finding the Fourth Proportional to 31,531.98, 43,512.16 and 18,093.78

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Solution

The fourth proportional to 31,531.98, 43,512.16 and 18,093.78 is: 24,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531.98 : 43,512.16 = 18,093.78 : x
  2. Step 2: Convert to fraction form
    31,531.98/43,512.16 = 18,093.78/x
  3. Step 3: Cross multiply
    31,531.98x = 43,512.16 × 18,093.78
  4. Step 4: Simplify right side
    31,531.98x = 787,299,450.36
  5. Step 5: Solve for x
    x = 787,299,450.36/31,531.98
  6. Step 6: Final answer
    x = 24,968.28

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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.