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Finding the Fourth Proportional to 50,533.50, 69,735.28 and 27,874.60

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Solution

The fourth proportional to 50,533.50, 69,735.28 and 27,874.60 is: 38,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,533.50 : 69,735.28 = 27,874.60 : x
  2. Step 2: Convert to fraction form
    50,533.50/69,735.28 = 27,874.60/x
  3. Step 3: Cross multiply
    50,533.50x = 69,735.28 × 27,874.60
  4. Step 4: Simplify right side
    50,533.50x = 1,943,843,035.89
  5. Step 5: Solve for x
    x = 1,943,843,035.89/50,533.50
  6. Step 6: Final answer
    x = 38,466.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.