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Finding the Fourth Proportional to 36,105.78, 49,826.10 and 20,194.02

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Solution

The fourth proportional to 36,105.78, 49,826.10 and 20,194.02 is: 27,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,105.78 : 49,826.10 = 20,194.02 : x
  2. Step 2: Convert to fraction form
    36,105.78/49,826.10 = 20,194.02/x
  3. Step 3: Cross multiply
    36,105.78x = 49,826.10 × 20,194.02
  4. Step 4: Simplify right side
    36,105.78x = 1,006,189,259.92
  5. Step 5: Solve for x
    x = 1,006,189,259.92/36,105.78
  6. Step 6: Final answer
    x = 27,867.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.