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Finding the Fourth Proportional to 30,267, 41,768.46 and 17,691.75

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Solution

The fourth proportional to 30,267, 41,768.46 and 17,691.75 is: 24,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267 : 41,768.46 = 17,691.75 : x
  2. Step 2: Convert to fraction form
    30,267/41,768.46 = 17,691.75/x
  3. Step 3: Cross multiply
    30,267x = 41,768.46 × 17,691.75
  4. Step 4: Simplify right side
    30,267x = 738,957,152.21
  5. Step 5: Solve for x
    x = 738,957,152.21/30,267
  6. Step 6: Final answer
    x = 24,414.62

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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.