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Finding the Fourth Proportional to 30,704.64, 42,361.56 and 20,100.12

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Solution

The fourth proportional to 30,704.64, 42,361.56 and 20,100.12 is: 27,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.64 : 42,361.56 = 20,100.12 : x
  2. Step 2: Convert to fraction form
    30,704.64/42,361.56 = 20,100.12/x
  3. Step 3: Cross multiply
    30,704.64x = 42,361.56 × 20,100.12
  4. Step 4: Simplify right side
    30,704.64x = 851,472,439.39
  5. Step 5: Solve for x
    x = 851,472,439.39/30,704.64
  6. Step 6: Final answer
    x = 27,731.07

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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.