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Finding the Fourth Proportional to 81,996.57, 122,994.99 and 22,832.24

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Solution

The fourth proportional to 81,996.57, 122,994.99 and 22,832.24 is: 34,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,996.57 : 122,994.99 = 22,832.24 : x
  2. Step 2: Convert to fraction form
    81,996.57/122,994.99 = 22,832.24/x
  3. Step 3: Cross multiply
    81,996.57x = 122,994.99 × 22,832.24
  4. Step 4: Simplify right side
    81,996.57x = 2,808,250,515.50
  5. Step 5: Solve for x
    x = 2,808,250,515.50/81,996.57
  6. Step 6: Final answer
    x = 34,248.39

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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.