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Finding the Fourth Proportional to 55,769.78, 83,589.03 and 27,681.41

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Solution

The fourth proportional to 55,769.78, 83,589.03 and 27,681.41 is: 41,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,769.78 : 83,589.03 = 27,681.41 : x
  2. Step 2: Convert to fraction form
    55,769.78/83,589.03 = 27,681.41/x
  3. Step 3: Cross multiply
    55,769.78x = 83,589.03 × 27,681.41
  4. Step 4: Simplify right side
    55,769.78x = 2,313,861,792.99
  5. Step 5: Solve for x
    x = 2,313,861,792.99/55,769.78
  6. Step 6: Final answer
    x = 41,489.53

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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.