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Finding the Fourth Proportional to 30,408.38, 41,963.09 and 16,979.82

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Solution

The fourth proportional to 30,408.38, 41,963.09 and 16,979.82 is: 23,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,408.38 : 41,963.09 = 16,979.82 : x
  2. Step 2: Convert to fraction form
    30,408.38/41,963.09 = 16,979.82/x
  3. Step 3: Cross multiply
    30,408.38x = 41,963.09 × 16,979.82
  4. Step 4: Simplify right side
    30,408.38x = 712,525,629.94
  5. Step 5: Solve for x
    x = 712,525,629.94/30,408.38
  6. Step 6: Final answer
    x = 23,431.89

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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.