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Finding the Fourth Proportional to 49,471.86, 68,270.17 and 27,668.08

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Solution

The fourth proportional to 49,471.86, 68,270.17 and 27,668.08 is: 38,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,471.86 : 68,270.17 = 27,668.08 : x
  2. Step 2: Convert to fraction form
    49,471.86/68,270.17 = 27,668.08/x
  3. Step 3: Cross multiply
    49,471.86x = 68,270.17 × 27,668.08
  4. Step 4: Simplify right side
    49,471.86x = 1,888,904,515.40
  5. Step 5: Solve for x
    x = 1,888,904,515.40/49,471.86
  6. Step 6: Final answer
    x = 38,181.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.