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Finding the Fourth Proportional to 36,105.66, 49,826.07 and 20,191.02

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Solution

The fourth proportional to 36,105.66, 49,826.07 and 20,191.02 is: 27,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,105.66 : 49,826.07 = 20,191.02 : x
  2. Step 2: Convert to fraction form
    36,105.66/49,826.07 = 20,191.02/x
  3. Step 3: Cross multiply
    36,105.66x = 49,826.07 × 20,191.02
  4. Step 4: Simplify right side
    36,105.66x = 1,006,039,175.89
  5. Step 5: Solve for x
    x = 1,006,039,175.89/36,105.66
  6. Step 6: Final answer
    x = 27,863.75

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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.