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Finding the Fourth Proportional to 50,098.50, 75,082.14 and 27,922.32

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Solution

The fourth proportional to 50,098.50, 75,082.14 and 27,922.32 is: 41,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,098.50 : 75,082.14 = 27,922.32 : x
  2. Step 2: Convert to fraction form
    50,098.50/75,082.14 = 27,922.32/x
  3. Step 3: Cross multiply
    50,098.50x = 75,082.14 × 27,922.32
  4. Step 4: Simplify right side
    50,098.50x = 2,096,467,539.36
  5. Step 5: Solve for x
    x = 2,096,467,539.36/50,098.50
  6. Step 6: Final answer
    x = 41,846.91

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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.