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Finding the Fourth Proportional to 62,857.52, 94,351.88 and 27,821.80

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Solution

The fourth proportional to 62,857.52, 94,351.88 and 27,821.80 is: 41,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,857.52 : 94,351.88 = 27,821.80 : x
  2. Step 2: Convert to fraction form
    62,857.52/94,351.88 = 27,821.80/x
  3. Step 3: Cross multiply
    62,857.52x = 94,351.88 × 27,821.80
  4. Step 4: Simplify right side
    62,857.52x = 2,625,039,134.98
  5. Step 5: Solve for x
    x = 2,625,039,134.98/62,857.52
  6. Step 6: Final answer
    x = 41,761.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.