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Finding the Fourth Proportional to 47,755.83, 71,540.14 and 27,723.31

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Solution

The fourth proportional to 47,755.83, 71,540.14 and 27,723.31 is: 41,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755.83 : 71,540.14 = 27,723.31 : x
  2. Step 2: Convert to fraction form
    47,755.83/71,540.14 = 27,723.31/x
  3. Step 3: Cross multiply
    47,755.83x = 71,540.14 × 27,723.31
  4. Step 4: Simplify right side
    47,755.83x = 1,983,329,230.50
  5. Step 5: Solve for x
    x = 1,983,329,230.50/47,755.83
  6. Step 6: Final answer
    x = 41,530.62

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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.