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Finding the Fourth Proportional to 57,843.88, 86,707.14 and 22,769.80

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Solution

The fourth proportional to 57,843.88, 86,707.14 and 22,769.80 is: 34,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,843.88 : 86,707.14 = 22,769.80 : x
  2. Step 2: Convert to fraction form
    57,843.88/86,707.14 = 22,769.80/x
  3. Step 3: Cross multiply
    57,843.88x = 86,707.14 × 22,769.80
  4. Step 4: Simplify right side
    57,843.88x = 1,974,304,236.37
  5. Step 5: Solve for x
    x = 1,974,304,236.37/57,843.88
  6. Step 6: Final answer
    x = 34,131.60

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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.