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Finding the Fourth Proportional to 31,271.72, 43,146.42 and 20,100.20

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Solution

The fourth proportional to 31,271.72, 43,146.42 and 20,100.20 is: 27,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,271.72 : 43,146.42 = 20,100.20 : x
  2. Step 2: Convert to fraction form
    31,271.72/43,146.42 = 20,100.20/x
  3. Step 3: Cross multiply
    31,271.72x = 43,146.42 × 20,100.20
  4. Step 4: Simplify right side
    31,271.72x = 867,251,671.28
  5. Step 5: Solve for x
    x = 867,251,671.28/31,271.72
  6. Step 6: Final answer
    x = 27,732.78

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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.