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Finding the Fourth Proportional to 81,838.67, 122,758.17 and 22,674.50

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Solution

The fourth proportional to 81,838.67, 122,758.17 and 22,674.50 is: 34,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,838.67 : 122,758.17 = 22,674.50 : x
  2. Step 2: Convert to fraction form
    81,838.67/122,758.17 = 22,674.50/x
  3. Step 3: Cross multiply
    81,838.67x = 122,758.17 × 22,674.50
  4. Step 4: Simplify right side
    81,838.67x = 2,783,479,887.19
  5. Step 5: Solve for x
    x = 2,783,479,887.19/81,838.67
  6. Step 6: Final answer
    x = 34,011.79

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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.