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Finding the Fourth Proportional to 71,538.08, 107,265 and 27,167.99

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Solution

The fourth proportional to 71,538.08, 107,265 and 27,167.99 is: 40,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,538.08 : 107,265 = 27,167.99 : x
  2. Step 2: Convert to fraction form
    71,538.08/107,265 = 27,167.99/x
  3. Step 3: Cross multiply
    71,538.08x = 107,265 × 27,167.99
  4. Step 4: Simplify right side
    71,538.08x = 2,914,174,447.35
  5. Step 5: Solve for x
    x = 2,914,174,447.35/71,538.08
  6. Step 6: Final answer
    x = 40,735.99

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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.