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Finding the Fourth Proportional to 30,202.38, 41,679.83 and 16,774.87

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Solution

The fourth proportional to 30,202.38, 41,679.83 and 16,774.87 is: 23,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.38 : 41,679.83 = 16,774.87 : x
  2. Step 2: Convert to fraction form
    30,202.38/41,679.83 = 16,774.87/x
  3. Step 3: Cross multiply
    30,202.38x = 41,679.83 × 16,774.87
  4. Step 4: Simplify right side
    30,202.38x = 699,173,729.87
  5. Step 5: Solve for x
    x = 699,173,729.87/30,202.38
  6. Step 6: Final answer
    x = 23,149.62

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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.