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Finding the Fourth Proportional to 54,104.80, 81,163.68 and 22,936

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Solution

The fourth proportional to 54,104.80, 81,163.68 and 22,936 is: 34,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,104.80 : 81,163.68 = 22,936 : x
  2. Step 2: Convert to fraction form
    54,104.80/81,163.68 = 22,936/x
  3. Step 3: Cross multiply
    54,104.80x = 81,163.68 × 22,936
  4. Step 4: Simplify right side
    54,104.80x = 1,861,570,164.48
  5. Step 5: Solve for x
    x = 1,861,570,164.48/54,104.80
  6. Step 6: Final answer
    x = 34,406.75

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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.