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Finding the Fourth Proportional to 50,181.44, 69,246.24 and 27,520

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Solution

The fourth proportional to 50,181.44, 69,246.24 and 27,520 is: 37,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,181.44 : 69,246.24 = 27,520 : x
  2. Step 2: Convert to fraction form
    50,181.44/69,246.24 = 27,520/x
  3. Step 3: Cross multiply
    50,181.44x = 69,246.24 × 27,520
  4. Step 4: Simplify right side
    50,181.44x = 1,905,656,524.80
  5. Step 5: Solve for x
    x = 1,905,656,524.80/50,181.44
  6. Step 6: Final answer
    x = 37,975.33

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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.