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Finding the Fourth Proportional to 81,967.87, 122,885.51 and 34,552.34

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Solution

The fourth proportional to 81,967.87, 122,885.51 and 34,552.34 is: 51,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,967.87 : 122,885.51 = 34,552.34 : x
  2. Step 2: Convert to fraction form
    81,967.87/122,885.51 = 34,552.34/x
  3. Step 3: Cross multiply
    81,967.87x = 122,885.51 × 34,552.34
  4. Step 4: Simplify right side
    81,967.87x = 4,245,981,596.22
  5. Step 5: Solve for x
    x = 4,245,981,596.22/81,967.87
  6. Step 6: Final answer
    x = 51,800.56

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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.