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Finding the Fourth Proportional to 71,227.35, 106,826.45 and 24,483.87

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Solution

The fourth proportional to 71,227.35, 106,826.45 and 24,483.87 is: 36,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,227.35 : 106,826.45 = 24,483.87 : x
  2. Step 2: Convert to fraction form
    71,227.35/106,826.45 = 24,483.87/x
  3. Step 3: Cross multiply
    71,227.35x = 106,826.45 × 24,483.87
  4. Step 4: Simplify right side
    71,227.35x = 2,615,524,791.94
  5. Step 5: Solve for x
    x = 2,615,524,791.94/71,227.35
  6. Step 6: Final answer
    x = 36,720.79

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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.