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Finding the Fourth Proportional to 35,563.40, 53,229.90 and 27,729.80

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Solution

The fourth proportional to 35,563.40, 53,229.90 and 27,729.80 is: 41,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,563.40 : 53,229.90 = 27,729.80 : x
  2. Step 2: Convert to fraction form
    35,563.40/53,229.90 = 27,729.80/x
  3. Step 3: Cross multiply
    35,563.40x = 53,229.90 × 27,729.80
  4. Step 4: Simplify right side
    35,563.40x = 1,476,054,481.02
  5. Step 5: Solve for x
    x = 1,476,054,481.02/35,563.40
  6. Step 6: Final answer
    x = 41,504.88

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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.