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Finding the Fourth Proportional to 36,083.70, 49,797.09 and 20,168.10

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Solution

The fourth proportional to 36,083.70, 49,797.09 and 20,168.10 is: 27,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,083.70 : 49,797.09 = 20,168.10 : x
  2. Step 2: Convert to fraction form
    36,083.70/49,797.09 = 20,168.10/x
  3. Step 3: Cross multiply
    36,083.70x = 49,797.09 × 20,168.10
  4. Step 4: Simplify right side
    36,083.70x = 1,004,312,690.83
  5. Step 5: Solve for x
    x = 1,004,312,690.83/36,083.70
  6. Step 6: Final answer
    x = 27,832.86

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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.