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Finding the Fourth Proportional to 73,922.87, 110,872.16 and 20,618.47

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Solution

The fourth proportional to 73,922.87, 110,872.16 and 20,618.47 is: 30,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,922.87 : 110,872.16 = 20,618.47 : x
  2. Step 2: Convert to fraction form
    73,922.87/110,872.16 = 20,618.47/x
  3. Step 3: Cross multiply
    73,922.87x = 110,872.16 × 20,618.47
  4. Step 4: Simplify right side
    73,922.87x = 2,286,014,201.70
  5. Step 5: Solve for x
    x = 2,286,014,201.70/73,922.87
  6. Step 6: Final answer
    x = 30,924.32

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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.