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Finding the Fourth Proportional to 82,227, 123,360 and 26,823

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Solution

The fourth proportional to 82,227, 123,360 and 26,823 is: 40,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,227 : 123,360 = 26,823 : x
  2. Step 2: Convert to fraction form
    82,227/123,360 = 26,823/x
  3. Step 3: Cross multiply
    82,227x = 123,360 × 26,823
  4. Step 4: Simplify right side
    82,227x = 3,308,885,280
  5. Step 5: Solve for x
    x = 3,308,885,280/82,227
  6. Step 6: Final answer
    x = 40,240.86

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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.