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Finding the Fourth Proportional to 27,208.20, 40,769.10 and 22,801.80

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Solution

The fourth proportional to 27,208.20, 40,769.10 and 22,801.80 is: 34,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,208.20 : 40,769.10 = 22,801.80 : x
  2. Step 2: Convert to fraction form
    27,208.20/40,769.10 = 22,801.80/x
  3. Step 3: Cross multiply
    27,208.20x = 40,769.10 × 22,801.80
  4. Step 4: Simplify right side
    27,208.20x = 929,608,864.38
  5. Step 5: Solve for x
    x = 929,608,864.38/27,208.20
  6. Step 6: Final answer
    x = 34,166.50

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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.