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Finding the Fourth Proportional to 36,097.50, 49,814.55 and 20,181.60

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Solution

The fourth proportional to 36,097.50, 49,814.55 and 20,181.60 is: 27,850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097.50 : 49,814.55 = 20,181.60 : x
  2. Step 2: Convert to fraction form
    36,097.50/49,814.55 = 20,181.60/x
  3. Step 3: Cross multiply
    36,097.50x = 49,814.55 × 20,181.60
  4. Step 4: Simplify right side
    36,097.50x = 1,005,337,322.28
  5. Step 5: Solve for x
    x = 1,005,337,322.28/36,097.50
  6. Step 6: Final answer
    x = 27,850.61

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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.