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Finding the Fourth Proportional to 81,996.82, 122,995.23 and 22,834.01

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Solution

The fourth proportional to 81,996.82, 122,995.23 and 22,834.01 is: 34,251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,996.82 : 122,995.23 = 22,834.01 : x
  2. Step 2: Convert to fraction form
    81,996.82/122,995.23 = 22,834.01/x
  3. Step 3: Cross multiply
    81,996.82x = 122,995.23 × 22,834.01
  4. Step 4: Simplify right side
    81,996.82x = 2,808,474,311.77
  5. Step 5: Solve for x
    x = 2,808,474,311.77/81,996.82
  6. Step 6: Final answer
    x = 34,251.02

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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.