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Finding the Fourth Proportional to 31,094.56, 42,680.90 and 27,662.20

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Solution

The fourth proportional to 31,094.56, 42,680.90 and 27,662.20 is: 37,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.56 : 42,680.90 = 27,662.20 : x
  2. Step 2: Convert to fraction form
    31,094.56/42,680.90 = 27,662.20/x
  3. Step 3: Cross multiply
    31,094.56x = 42,680.90 × 27,662.20
  4. Step 4: Simplify right side
    31,094.56x = 1,180,647,591.98
  5. Step 5: Solve for x
    x = 1,180,647,591.98/31,094.56
  6. Step 6: Final answer
    x = 37,969.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.