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Finding the Fourth Proportional to 71,922.29, 99,206.44 and 47,722.73

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Solution

The fourth proportional to 71,922.29, 99,206.44 and 47,722.73 is: 65,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,922.29 : 99,206.44 = 47,722.73 : x
  2. Step 2: Convert to fraction form
    71,922.29/99,206.44 = 47,722.73/x
  3. Step 3: Cross multiply
    71,922.29x = 99,206.44 × 47,722.73
  4. Step 4: Simplify right side
    71,922.29x = 4,734,401,535.04
  5. Step 5: Solve for x
    x = 4,734,401,535.04/71,922.29
  6. Step 6: Final answer
    x = 65,826.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.