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Finding the Fourth Proportional to 51,906.43, 71,630.85 and 28,033.11

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Solution

The fourth proportional to 51,906.43, 71,630.85 and 28,033.11 is: 38,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.43 : 71,630.85 = 28,033.11 : x
  2. Step 2: Convert to fraction form
    51,906.43/71,630.85 = 28,033.11/x
  3. Step 3: Cross multiply
    51,906.43x = 71,630.85 × 28,033.11
  4. Step 4: Simplify right side
    51,906.43x = 2,008,035,497.44
  5. Step 5: Solve for x
    x = 2,008,035,497.44/51,906.43
  6. Step 6: Final answer
    x = 38,685.68

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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.