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Finding the Fourth Proportional to 33,997.50, 46,919.43 and 19,096.38

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Solution

The fourth proportional to 33,997.50, 46,919.43 and 19,096.38 is: 26,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997.50 : 46,919.43 = 19,096.38 : x
  2. Step 2: Convert to fraction form
    33,997.50/46,919.43 = 19,096.38/x
  3. Step 3: Cross multiply
    33,997.50x = 46,919.43 × 19,096.38
  4. Step 4: Simplify right side
    33,997.50x = 895,991,264.66
  5. Step 5: Solve for x
    x = 895,991,264.66/33,997.50
  6. Step 6: Final answer
    x = 26,354.62

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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.