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Finding the Fourth Proportional to 54,819.82, 82,163.51 and 26,697.74

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Solution

The fourth proportional to 54,819.82, 82,163.51 and 26,697.74 is: 40,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,819.82 : 82,163.51 = 26,697.74 : x
  2. Step 2: Convert to fraction form
    54,819.82/82,163.51 = 26,697.74/x
  3. Step 3: Cross multiply
    54,819.82x = 82,163.51 × 26,697.74
  4. Step 4: Simplify right side
    54,819.82x = 2,193,580,027.47
  5. Step 5: Solve for x
    x = 2,193,580,027.47/54,819.82
  6. Step 6: Final answer
    x = 40,014.36

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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.