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Finding the Fourth Proportional to 31,431.44, 43,361.96 and 20,098.48

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Solution

The fourth proportional to 31,431.44, 43,361.96 and 20,098.48 is: 27,727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431.44 : 43,361.96 = 20,098.48 : x
  2. Step 2: Convert to fraction form
    31,431.44/43,361.96 = 20,098.48/x
  3. Step 3: Cross multiply
    31,431.44x = 43,361.96 × 20,098.48
  4. Step 4: Simplify right side
    31,431.44x = 871,509,485.82
  5. Step 5: Solve for x
    x = 871,509,485.82/31,431.44
  6. Step 6: Final answer
    x = 27,727.32

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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.