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Finding the Fourth Proportional to 27,879, 41,713.47 and 19,575.42

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Solution

The fourth proportional to 27,879, 41,713.47 and 19,575.42 is: 29,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879 : 41,713.47 = 19,575.42 : x
  2. Step 2: Convert to fraction form
    27,879/41,713.47 = 19,575.42/x
  3. Step 3: Cross multiply
    27,879x = 41,713.47 × 19,575.42
  4. Step 4: Simplify right side
    27,879x = 816,558,694.91
  5. Step 5: Solve for x
    x = 816,558,694.91/27,879
  6. Step 6: Final answer
    x = 29,289.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.