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Finding the Fourth Proportional to 34,674.24, 47,899.44 and 27,591.60

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Solution

The fourth proportional to 34,674.24, 47,899.44 and 27,591.60 is: 38,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,674.24 : 47,899.44 = 27,591.60 : x
  2. Step 2: Convert to fraction form
    34,674.24/47,899.44 = 27,591.60/x
  3. Step 3: Cross multiply
    34,674.24x = 47,899.44 × 27,591.60
  4. Step 4: Simplify right side
    34,674.24x = 1,321,622,188.70
  5. Step 5: Solve for x
    x = 1,321,622,188.70/34,674.24
  6. Step 6: Final answer
    x = 38,115.39

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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.