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Finding the Fourth Proportional to 50,500.78, 69,687.95 and 27,838.60

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Solution

The fourth proportional to 50,500.78, 69,687.95 and 27,838.60 is: 38,415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,500.78 : 69,687.95 = 27,838.60 : x
  2. Step 2: Convert to fraction form
    50,500.78/69,687.95 = 27,838.60/x
  3. Step 3: Cross multiply
    50,500.78x = 69,687.95 × 27,838.60
  4. Step 4: Simplify right side
    50,500.78x = 1,940,014,651.46
  5. Step 5: Solve for x
    x = 1,940,014,651.46/50,500.78
  6. Step 6: Final answer
    x = 38,415.54

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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.