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Finding the Fourth Proportional to 52,104.67, 71,903.97 and 28,231.27

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Solution

The fourth proportional to 52,104.67, 71,903.97 and 28,231.27 is: 38,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,104.67 : 71,903.97 = 28,231.27 : x
  2. Step 2: Convert to fraction form
    52,104.67/71,903.97 = 28,231.27/x
  3. Step 3: Cross multiply
    52,104.67x = 71,903.97 × 28,231.27
  4. Step 4: Simplify right side
    52,104.67x = 2,029,940,211.38
  5. Step 5: Solve for x
    x = 2,029,940,211.38/52,104.67
  6. Step 6: Final answer
    x = 38,958.89

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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.