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Finding the Fourth Proportional to 81,912.92, 122,917.12 and 34,525.10

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Solution

The fourth proportional to 81,912.92, 122,917.12 and 34,525.10 is: 51,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,912.92 : 122,917.12 = 34,525.10 : x
  2. Step 2: Convert to fraction form
    81,912.92/122,917.12 = 34,525.10/x
  3. Step 3: Cross multiply
    81,912.92x = 122,917.12 × 34,525.10
  4. Step 4: Simplify right side
    81,912.92x = 4,243,726,080.69
  5. Step 5: Solve for x
    x = 4,243,726,080.69/81,912.92
  6. Step 6: Final answer
    x = 51,807.78

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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.