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Finding the Fourth Proportional to 36,096.75, 49,814.54 and 20,181.17

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Solution

The fourth proportional to 36,096.75, 49,814.54 and 20,181.17 is: 27,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,096.75 : 49,814.54 = 20,181.17 : x
  2. Step 2: Convert to fraction form
    36,096.75/49,814.54 = 20,181.17/x
  3. Step 3: Cross multiply
    36,096.75x = 49,814.54 × 20,181.17
  4. Step 4: Simplify right side
    36,096.75x = 1,005,315,350.23
  5. Step 5: Solve for x
    x = 1,005,315,350.23/36,096.75
  6. Step 6: Final answer
    x = 27,850.58

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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.