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Finding the Fourth Proportional to 81,963.63, 122,855.22 and 32,034.42

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Solution

The fourth proportional to 81,963.63, 122,855.22 and 32,034.42 is: 48,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,963.63 : 122,855.22 = 32,034.42 : x
  2. Step 2: Convert to fraction form
    81,963.63/122,855.22 = 32,034.42/x
  3. Step 3: Cross multiply
    81,963.63x = 122,855.22 × 32,034.42
  4. Step 4: Simplify right side
    81,963.63x = 3,935,595,716.67
  5. Step 5: Solve for x
    x = 3,935,595,716.67/81,963.63
  6. Step 6: Final answer
    x = 48,016.37

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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.