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Finding the Fourth Proportional to 36,097.02, 49,814.01 and 20,181.78

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Solution

The fourth proportional to 36,097.02, 49,814.01 and 20,181.78 is: 27,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097.02 : 49,814.01 = 20,181.78 : x
  2. Step 2: Convert to fraction form
    36,097.02/49,814.01 = 20,181.78/x
  3. Step 3: Cross multiply
    36,097.02x = 49,814.01 × 20,181.78
  4. Step 4: Simplify right side
    36,097.02x = 1,005,335,390.74
  5. Step 5: Solve for x
    x = 1,005,335,390.74/36,097.02
  6. Step 6: Final answer
    x = 27,850.92

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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.