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Finding the Fourth Proportional to 36,084.86, 49,796.94 and 20,169.20

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Solution

The fourth proportional to 36,084.86, 49,796.94 and 20,169.20 is: 27,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,084.86 : 49,796.94 = 20,169.20 : x
  2. Step 2: Convert to fraction form
    36,084.86/49,796.94 = 20,169.20/x
  3. Step 3: Cross multiply
    36,084.86x = 49,796.94 × 20,169.20
  4. Step 4: Simplify right side
    36,084.86x = 1,004,364,442.25
  5. Step 5: Solve for x
    x = 1,004,364,442.25/36,084.86
  6. Step 6: Final answer
    x = 27,833.40

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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.