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Finding the Fourth Proportional to 31,847.64, 47,705.76 and 18,660

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Solution

The fourth proportional to 31,847.64, 47,705.76 and 18,660 is: 27,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.64 : 47,705.76 = 18,660 : x
  2. Step 2: Convert to fraction form
    31,847.64/47,705.76 = 18,660/x
  3. Step 3: Cross multiply
    31,847.64x = 47,705.76 × 18,660
  4. Step 4: Simplify right side
    31,847.64x = 890,189,481.60
  5. Step 5: Solve for x
    x = 890,189,481.60/31,847.64
  6. Step 6: Final answer
    x = 27,951.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.