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Finding the Fourth Proportional to 50,257.44, 69,352.56 and 27,900

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Solution

The fourth proportional to 50,257.44, 69,352.56 and 27,900 is: 38,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,257.44 : 69,352.56 = 27,900 : x
  2. Step 2: Convert to fraction form
    50,257.44/69,352.56 = 27,900/x
  3. Step 3: Cross multiply
    50,257.44x = 69,352.56 × 27,900
  4. Step 4: Simplify right side
    50,257.44x = 1,934,936,424
  5. Step 5: Solve for x
    x = 1,934,936,424/50,257.44
  6. Step 6: Final answer
    x = 38,500.50

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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.