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Finding the Fourth Proportional to 51,662.70, 71,296.38 and 30,166.38

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Solution

The fourth proportional to 51,662.70, 71,296.38 and 30,166.38 is: 41,630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,662.70 : 71,296.38 = 30,166.38 : x
  2. Step 2: Convert to fraction form
    51,662.70/71,296.38 = 30,166.38/x
  3. Step 3: Cross multiply
    51,662.70x = 71,296.38 × 30,166.38
  4. Step 4: Simplify right side
    51,662.70x = 2,150,753,691.70
  5. Step 5: Solve for x
    x = 2,150,753,691.70/51,662.70
  6. Step 6: Final answer
    x = 41,630.69

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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.