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Finding the Fourth Proportional to 73,231.74, 109,808.54 and 34,722.77

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Solution

The fourth proportional to 73,231.74, 109,808.54 and 34,722.77 is: 52,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,231.74 : 109,808.54 = 34,722.77 : x
  2. Step 2: Convert to fraction form
    73,231.74/109,808.54 = 34,722.77/x
  3. Step 3: Cross multiply
    73,231.74x = 109,808.54 × 34,722.77
  4. Step 4: Simplify right side
    73,231.74x = 3,812,856,906.93
  5. Step 5: Solve for x
    x = 3,812,856,906.93/73,231.74
  6. Step 6: Final answer
    x = 52,065.63

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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.