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Finding the Fourth Proportional to 30,778.38, 42,474.11 and 16,631.19

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Solution

The fourth proportional to 30,778.38, 42,474.11 and 16,631.19 is: 22,951.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.38 : 42,474.11 = 16,631.19 : x
  2. Step 2: Convert to fraction form
    30,778.38/42,474.11 = 16,631.19/x
  3. Step 3: Cross multiply
    30,778.38x = 42,474.11 × 16,631.19
  4. Step 4: Simplify right side
    30,778.38x = 706,394,910.33
  5. Step 5: Solve for x
    x = 706,394,910.33/30,778.38
  6. Step 6: Final answer
    x = 22,951.01

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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.