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Finding the Fourth Proportional to 27,049.56, 40,578.96 and 8,329.20

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Solution

The fourth proportional to 27,049.56, 40,578.96 and 8,329.20 is: 12,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.56 : 40,578.96 = 8,329.20 : x
  2. Step 2: Convert to fraction form
    27,049.56/40,578.96 = 8,329.20/x
  3. Step 3: Cross multiply
    27,049.56x = 40,578.96 × 8,329.20
  4. Step 4: Simplify right side
    27,049.56x = 337,990,273.63
  5. Step 5: Solve for x
    x = 337,990,273.63/27,049.56
  6. Step 6: Final answer
    x = 12,495.22

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1.5x scale

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.