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Finding the Fourth Proportional to 27,520, 41,280.16 and 6,743.52

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Solution

The fourth proportional to 27,520, 41,280.16 and 6,743.52 is: 10,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,520 : 41,280.16 = 6,743.52 : x
  2. Step 2: Convert to fraction form
    27,520/41,280.16 = 6,743.52/x
  3. Step 3: Cross multiply
    27,520x = 41,280.16 × 6,743.52
  4. Step 4: Simplify right side
    27,520x = 278,373,584.56
  5. Step 5: Solve for x
    x = 278,373,584.56/27,520
  6. Step 6: Final answer
    x = 10,115.32

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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.