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Finding the Fourth Proportional to 38,198.90, 52,605.49 and 27,571.70

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Solution

The fourth proportional to 38,198.90, 52,605.49 and 27,571.70 is: 37,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198.90 : 52,605.49 = 27,571.70 : x
  2. Step 2: Convert to fraction form
    38,198.90/52,605.49 = 27,571.70/x
  3. Step 3: Cross multiply
    38,198.90x = 52,605.49 × 27,571.70
  4. Step 4: Simplify right side
    38,198.90x = 1,450,422,653.95
  5. Step 5: Solve for x
    x = 1,450,422,653.95/38,198.90
  6. Step 6: Final answer
    x = 37,970.27

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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.