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Finding the Fourth Proportional to 73,097.70, 109,650.43 and 23,181.73

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Solution

The fourth proportional to 73,097.70, 109,650.43 and 23,181.73 is: 34,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,097.70 : 109,650.43 = 23,181.73 : x
  2. Step 2: Convert to fraction form
    73,097.70/109,650.43 = 23,181.73/x
  3. Step 3: Cross multiply
    73,097.70x = 109,650.43 × 23,181.73
  4. Step 4: Simplify right side
    73,097.70x = 2,541,886,662.64
  5. Step 5: Solve for x
    x = 2,541,886,662.64/73,097.70
  6. Step 6: Final answer
    x = 34,773.83

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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.