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Finding the Fourth Proportional to 31,414.41, 43,361.99 and 20,114.34

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Solution

The fourth proportional to 31,414.41, 43,361.99 and 20,114.34 is: 27,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,414.41 : 43,361.99 = 20,114.34 : x
  2. Step 2: Convert to fraction form
    31,414.41/43,361.99 = 20,114.34/x
  3. Step 3: Cross multiply
    31,414.41x = 43,361.99 × 20,114.34
  4. Step 4: Simplify right side
    31,414.41x = 872,197,809.94
  5. Step 5: Solve for x
    x = 872,197,809.94/31,414.41
  6. Step 6: Final answer
    x = 27,764.26

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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.