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Finding the Fourth Proportional to 73,525.82, 110,255.72 and 20,922.80

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Solution

The fourth proportional to 73,525.82, 110,255.72 and 20,922.80 is: 31,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,525.82 : 110,255.72 = 20,922.80 : x
  2. Step 2: Convert to fraction form
    73,525.82/110,255.72 = 20,922.80/x
  3. Step 3: Cross multiply
    73,525.82x = 110,255.72 × 20,922.80
  4. Step 4: Simplify right side
    73,525.82x = 2,306,857,722.52
  5. Step 5: Solve for x
    x = 2,306,857,722.52/73,525.82
  6. Step 6: Final answer
    x = 31,374.80

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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.