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Finding the Fourth Proportional to 31,871.70, 47,791.35 and 18,728.10

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Solution

The fourth proportional to 31,871.70, 47,791.35 and 18,728.10 is: 28,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.70 : 47,791.35 = 18,728.10 : x
  2. Step 2: Convert to fraction form
    31,871.70/47,791.35 = 18,728.10/x
  3. Step 3: Cross multiply
    31,871.70x = 47,791.35 × 18,728.10
  4. Step 4: Simplify right side
    31,871.70x = 895,041,181.94
  5. Step 5: Solve for x
    x = 895,041,181.94/31,871.70
  6. Step 6: Final answer
    x = 28,082.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.