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Finding the Fourth Proportional to 27,049.57, 40,578.98 and 8,329.23

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Solution

The fourth proportional to 27,049.57, 40,578.98 and 8,329.23 is: 12,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.57 : 40,578.98 = 8,329.23 : x
  2. Step 2: Convert to fraction form
    27,049.57/40,578.98 = 8,329.23/x
  3. Step 3: Cross multiply
    27,049.57x = 40,578.98 × 8,329.23
  4. Step 4: Simplify right side
    27,049.57x = 337,991,615.94
  5. Step 5: Solve for x
    x = 337,991,615.94/27,049.57
  6. Step 6: Final answer
    x = 12,495.27

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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.