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Finding the Fourth Proportional to 47,993.69, 66,234.51 and 27,850.50

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Solution

The fourth proportional to 47,993.69, 66,234.51 and 27,850.50 is: 38,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,993.69 : 66,234.51 = 27,850.50 : x
  2. Step 2: Convert to fraction form
    47,993.69/66,234.51 = 27,850.50/x
  3. Step 3: Cross multiply
    47,993.69x = 66,234.51 × 27,850.50
  4. Step 4: Simplify right side
    47,993.69x = 1,844,664,220.76
  5. Step 5: Solve for x
    x = 1,844,664,220.76/47,993.69
  6. Step 6: Final answer
    x = 38,435.56

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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.