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Finding the Fourth Proportional to 72,004.80, 107,974.80 and 27,616.80

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Solution

The fourth proportional to 72,004.80, 107,974.80 and 27,616.80 is: 41,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,004.80 : 107,974.80 = 27,616.80 : x
  2. Step 2: Convert to fraction form
    72,004.80/107,974.80 = 27,616.80/x
  3. Step 3: Cross multiply
    72,004.80x = 107,974.80 × 27,616.80
  4. Step 4: Simplify right side
    72,004.80x = 2,981,918,456.64
  5. Step 5: Solve for x
    x = 2,981,918,456.64/72,004.80
  6. Step 6: Final answer
    x = 41,412.77

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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.