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Finding the Fourth Proportional to 29,934.38, 41,311.31 and 16,505.60

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Solution

The fourth proportional to 29,934.38, 41,311.31 and 16,505.60 is: 22,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,934.38 : 41,311.31 = 16,505.60 : x
  2. Step 2: Convert to fraction form
    29,934.38/41,311.31 = 16,505.60/x
  3. Step 3: Cross multiply
    29,934.38x = 41,311.31 × 16,505.60
  4. Step 4: Simplify right side
    29,934.38x = 681,867,669.25
  5. Step 5: Solve for x
    x = 681,867,669.25/29,934.38
  6. Step 6: Final answer
    x = 22,778.75

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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.