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Finding the Fourth Proportional to 82,668, 124,002.06 and 27,264

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Solution

The fourth proportional to 82,668, 124,002.06 and 27,264 is: 40,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,668 : 124,002.06 = 27,264 : x
  2. Step 2: Convert to fraction form
    82,668/124,002.06 = 27,264/x
  3. Step 3: Cross multiply
    82,668x = 124,002.06 × 27,264
  4. Step 4: Simplify right side
    82,668x = 3,380,792,163.84
  5. Step 5: Solve for x
    x = 3,380,792,163.84/82,668
  6. Step 6: Final answer
    x = 40,896.02

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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.