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Finding the Fourth Proportional to 31,321.50, 43,211.60 and 19,991.40

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Solution

The fourth proportional to 31,321.50, 43,211.60 and 19,991.40 is: 27,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,321.50 : 43,211.60 = 19,991.40 : x
  2. Step 2: Convert to fraction form
    31,321.50/43,211.60 = 19,991.40/x
  3. Step 3: Cross multiply
    31,321.50x = 43,211.60 × 19,991.40
  4. Step 4: Simplify right side
    31,321.50x = 863,860,380.24
  5. Step 5: Solve for x
    x = 863,860,380.24/31,321.50
  6. Step 6: Final answer
    x = 27,580.43

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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.