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Finding the Fourth Proportional to 33,702.38, 46,516.38 and 23,105.96

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Solution

The fourth proportional to 33,702.38, 46,516.38 and 23,105.96 is: 31,891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702.38 : 46,516.38 = 23,105.96 : x
  2. Step 2: Convert to fraction form
    33,702.38/46,516.38 = 23,105.96/x
  3. Step 3: Cross multiply
    33,702.38x = 46,516.38 × 23,105.96
  4. Step 4: Simplify right side
    33,702.38x = 1,074,805,615.62
  5. Step 5: Solve for x
    x = 1,074,805,615.62/33,702.38
  6. Step 6: Final answer
    x = 31,891.09

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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.