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Finding the Fourth Proportional to 31,524.56, 43,506.12 and 18,098

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Solution

The fourth proportional to 31,524.56, 43,506.12 and 18,098 is: 24,976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.56 : 43,506.12 = 18,098 : x
  2. Step 2: Convert to fraction form
    31,524.56/43,506.12 = 18,098/x
  3. Step 3: Cross multiply
    31,524.56x = 43,506.12 × 18,098
  4. Step 4: Simplify right side
    31,524.56x = 787,373,759.76
  5. Step 5: Solve for x
    x = 787,373,759.76/31,524.56
  6. Step 6: Final answer
    x = 24,976.52

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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.