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Finding the Fourth Proportional to 30,197.38, 41,672.16 and 16,768.68

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Solution

The fourth proportional to 30,197.38, 41,672.16 and 16,768.68 is: 23,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.38 : 41,672.16 = 16,768.68 : x
  2. Step 2: Convert to fraction form
    30,197.38/41,672.16 = 16,768.68/x
  3. Step 3: Cross multiply
    30,197.38x = 41,672.16 × 16,768.68
  4. Step 4: Simplify right side
    30,197.38x = 698,787,115.95
  5. Step 5: Solve for x
    x = 698,787,115.95/30,197.38
  6. Step 6: Final answer
    x = 23,140.65

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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.