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Finding the Fourth Proportional to 81,730.44, 122,580.90 and 22,551.48

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Solution

The fourth proportional to 81,730.44, 122,580.90 and 22,551.48 is: 33,823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,730.44 : 122,580.90 = 22,551.48 : x
  2. Step 2: Convert to fraction form
    81,730.44/122,580.90 = 22,551.48/x
  3. Step 3: Cross multiply
    81,730.44x = 122,580.90 × 22,551.48
  4. Step 4: Simplify right side
    81,730.44x = 2,764,380,714.73
  5. Step 5: Solve for x
    x = 2,764,380,714.73/81,730.44
  6. Step 6: Final answer
    x = 33,823.15

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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.