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Finding the Fourth Proportional to 31,286.67, 43,165.05 and 17,848.47

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Solution

The fourth proportional to 31,286.67, 43,165.05 and 17,848.47 is: 24,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.67 : 43,165.05 = 17,848.47 : x
  2. Step 2: Convert to fraction form
    31,286.67/43,165.05 = 17,848.47/x
  3. Step 3: Cross multiply
    31,286.67x = 43,165.05 × 17,848.47
  4. Step 4: Simplify right side
    31,286.67x = 770,430,099.97
  5. Step 5: Solve for x
    x = 770,430,099.97/31,286.67
  6. Step 6: Final answer
    x = 24,624.87

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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.