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Finding the Fourth Proportional to 36,027.30, 49,716.03 and 20,111.82

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Solution

The fourth proportional to 36,027.30, 49,716.03 and 20,111.82 is: 27,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,027.30 : 49,716.03 = 20,111.82 : x
  2. Step 2: Convert to fraction form
    36,027.30/49,716.03 = 20,111.82/x
  3. Step 3: Cross multiply
    36,027.30x = 49,716.03 × 20,111.82
  4. Step 4: Simplify right side
    36,027.30x = 999,879,846.47
  5. Step 5: Solve for x
    x = 999,879,846.47/36,027.30
  6. Step 6: Final answer
    x = 27,753.39

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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.