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Finding the Fourth Proportional to 71,850.68, 107,783.40 and 27,514.52

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Solution

The fourth proportional to 71,850.68, 107,783.40 and 27,514.52 is: 41,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,850.68 : 107,783.40 = 27,514.52 : x
  2. Step 2: Convert to fraction form
    71,850.68/107,783.40 = 27,514.52/x
  3. Step 3: Cross multiply
    71,850.68x = 107,783.40 × 27,514.52
  4. Step 4: Simplify right side
    71,850.68x = 2,965,608,514.97
  5. Step 5: Solve for x
    x = 2,965,608,514.97/71,850.68
  6. Step 6: Final answer
    x = 41,274.61

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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.