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Finding the Fourth Proportional to 82,233, 123,369 and 26,829

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Solution

The fourth proportional to 82,233, 123,369 and 26,829 is: 40,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,233 : 123,369 = 26,829 : x
  2. Step 2: Convert to fraction form
    82,233/123,369 = 26,829/x
  3. Step 3: Cross multiply
    82,233x = 123,369 × 26,829
  4. Step 4: Simplify right side
    82,233x = 3,309,866,901
  5. Step 5: Solve for x
    x = 3,309,866,901/82,233
  6. Step 6: Final answer
    x = 40,249.86

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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.