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Finding the Fourth Proportional to 50,114.53, 75,180.11 and 18,524.64

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Solution

The fourth proportional to 50,114.53, 75,180.11 and 18,524.64 is: 27,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,114.53 : 75,180.11 = 18,524.64 : x
  2. Step 2: Convert to fraction form
    50,114.53/75,180.11 = 18,524.64/x
  3. Step 3: Cross multiply
    50,114.53x = 75,180.11 × 18,524.64
  4. Step 4: Simplify right side
    50,114.53x = 1,392,684,472.91
  5. Step 5: Solve for x
    x = 1,392,684,472.91/50,114.53
  6. Step 6: Final answer
    x = 27,790.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.