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Finding the Fourth Proportional to 34,711.40, 47,910.46 and 31,168.44

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Solution

The fourth proportional to 34,711.40, 47,910.46 and 31,168.44 is: 43,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,711.40 : 47,910.46 = 31,168.44 : x
  2. Step 2: Convert to fraction form
    34,711.40/47,910.46 = 31,168.44/x
  3. Step 3: Cross multiply
    34,711.40x = 47,910.46 × 31,168.44
  4. Step 4: Simplify right side
    34,711.40x = 1,493,294,297.88
  5. Step 5: Solve for x
    x = 1,493,294,297.88/34,711.40
  6. Step 6: Final answer
    x = 43,020.28

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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.