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Finding the Fourth Proportional to 49,729.80, 68,627.44 and 27,069

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Solution

The fourth proportional to 49,729.80, 68,627.44 and 27,069 is: 37,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,729.80 : 68,627.44 = 27,069 : x
  2. Step 2: Convert to fraction form
    49,729.80/68,627.44 = 27,069/x
  3. Step 3: Cross multiply
    49,729.80x = 68,627.44 × 27,069
  4. Step 4: Simplify right side
    49,729.80x = 1,857,676,173.36
  5. Step 5: Solve for x
    x = 1,857,676,173.36/49,729.80
  6. Step 6: Final answer
    x = 37,355.39

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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.