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Finding the Fourth Proportional to 82,653.69, 123,992.22 and 26,480.66

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Solution

The fourth proportional to 82,653.69, 123,992.22 and 26,480.66 is: 39,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,653.69 : 123,992.22 = 26,480.66 : x
  2. Step 2: Convert to fraction form
    82,653.69/123,992.22 = 26,480.66/x
  3. Step 3: Cross multiply
    82,653.69x = 123,992.22 × 26,480.66
  4. Step 4: Simplify right side
    82,653.69x = 3,283,396,031.14
  5. Step 5: Solve for x
    x = 3,283,396,031.14/82,653.69
  6. Step 6: Final answer
    x = 39,724.73

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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.