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Finding the Fourth Proportional to 71,492.88, 107,198.27 and 27,091.36

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Solution

The fourth proportional to 71,492.88, 107,198.27 and 27,091.36 is: 40,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,492.88 : 107,198.27 = 27,091.36 : x
  2. Step 2: Convert to fraction form
    71,492.88/107,198.27 = 27,091.36/x
  3. Step 3: Cross multiply
    71,492.88x = 107,198.27 × 27,091.36
  4. Step 4: Simplify right side
    71,492.88x = 2,904,146,923.95
  5. Step 5: Solve for x
    x = 2,904,146,923.95/71,492.88
  6. Step 6: Final answer
    x = 40,621.48

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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.