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Finding the Fourth Proportional to 81,796.32, 122,694.32 and 22,631.82

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Solution

The fourth proportional to 81,796.32, 122,694.32 and 22,631.82 is: 33,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,796.32 : 122,694.32 = 22,631.82 : x
  2. Step 2: Convert to fraction form
    81,796.32/122,694.32 = 22,631.82/x
  3. Step 3: Cross multiply
    81,796.32x = 122,694.32 × 22,631.82
  4. Step 4: Simplify right side
    81,796.32x = 2,776,795,652.10
  5. Step 5: Solve for x
    x = 2,776,795,652.10/81,796.32
  6. Step 6: Final answer
    x = 33,947.68

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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.