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Finding the Fourth Proportional to 51,906.56, 71,631.02 and 28,033.23

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Solution

The fourth proportional to 51,906.56, 71,631.02 and 28,033.23 is: 38,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.56 : 71,631.02 = 28,033.23 : x
  2. Step 2: Convert to fraction form
    51,906.56/71,631.02 = 28,033.23/x
  3. Step 3: Cross multiply
    51,906.56x = 71,631.02 × 28,033.23
  4. Step 4: Simplify right side
    51,906.56x = 2,008,049,197.49
  5. Step 5: Solve for x
    x = 2,008,049,197.49/51,906.56
  6. Step 6: Final answer
    x = 38,685.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.