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Finding the Fourth Proportional to 30,068.24, 41,494.25 and 16,640.42

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Solution

The fourth proportional to 30,068.24, 41,494.25 and 16,640.42 is: 22,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,068.24 : 41,494.25 = 16,640.42 : x
  2. Step 2: Convert to fraction form
    30,068.24/41,494.25 = 16,640.42/x
  3. Step 3: Cross multiply
    30,068.24x = 41,494.25 × 16,640.42
  4. Step 4: Simplify right side
    30,068.24x = 690,481,456.91
  5. Step 5: Solve for x
    x = 690,481,456.91/30,068.24
  6. Step 6: Final answer
    x = 22,963.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.