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Finding the Fourth Proportional to 27,578.60, 41,367.90 and 20,234.60

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Solution

The fourth proportional to 27,578.60, 41,367.90 and 20,234.60 is: 30,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.60 : 41,367.90 = 20,234.60 : x
  2. Step 2: Convert to fraction form
    27,578.60/41,367.90 = 20,234.60/x
  3. Step 3: Cross multiply
    27,578.60x = 41,367.90 × 20,234.60
  4. Step 4: Simplify right side
    27,578.60x = 837,062,909.34
  5. Step 5: Solve for x
    x = 837,062,909.34/27,578.60
  6. Step 6: Final answer
    x = 30,351.90

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