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Finding the Fourth Proportional to 41,164.82, 61,734.97 and 17,471.98

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Solution

The fourth proportional to 41,164.82, 61,734.97 and 17,471.98 is: 26,202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,164.82 : 61,734.97 = 17,471.98 : x
  2. Step 2: Convert to fraction form
    41,164.82/61,734.97 = 17,471.98/x
  3. Step 3: Cross multiply
    41,164.82x = 61,734.97 × 17,471.98
  4. Step 4: Simplify right side
    41,164.82x = 1,078,632,161.14
  5. Step 5: Solve for x
    x = 1,078,632,161.14/41,164.82
  6. Step 6: Final answer
    x = 26,202.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.