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Finding the Fourth Proportional to 33,638.38, 46,426.42 and 19,499.42

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Solution

The fourth proportional to 33,638.38, 46,426.42 and 19,499.42 is: 26,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.38 : 46,426.42 = 19,499.42 : x
  2. Step 2: Convert to fraction form
    33,638.38/46,426.42 = 19,499.42/x
  3. Step 3: Cross multiply
    33,638.38x = 46,426.42 × 19,499.42
  4. Step 4: Simplify right side
    33,638.38x = 905,288,262.68
  5. Step 5: Solve for x
    x = 905,288,262.68/33,638.38
  6. Step 6: Final answer
    x = 26,912.36

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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.