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Finding the Fourth Proportional to 36,097.53, 49,815.45 and 20,181.84

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Solution

The fourth proportional to 36,097.53, 49,815.45 and 20,181.84 is: 27,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097.53 : 49,815.45 = 20,181.84 : x
  2. Step 2: Convert to fraction form
    36,097.53/49,815.45 = 20,181.84/x
  3. Step 3: Cross multiply
    36,097.53x = 49,815.45 × 20,181.84
  4. Step 4: Simplify right side
    36,097.53x = 1,005,367,441.43
  5. Step 5: Solve for x
    x = 1,005,367,441.43/36,097.53
  6. Step 6: Final answer
    x = 27,851.42

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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.