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Finding the Fourth Proportional to 50,765.22, 70,056.09 and 27,794.70

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Solution

The fourth proportional to 50,765.22, 70,056.09 and 27,794.70 is: 38,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,765.22 : 70,056.09 = 27,794.70 : x
  2. Step 2: Convert to fraction form
    50,765.22/70,056.09 = 27,794.70/x
  3. Step 3: Cross multiply
    50,765.22x = 70,056.09 × 27,794.70
  4. Step 4: Simplify right side
    50,765.22x = 1,947,188,004.72
  5. Step 5: Solve for x
    x = 1,947,188,004.72/50,765.22
  6. Step 6: Final answer
    x = 38,356.73

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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.