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Finding the Fourth Proportional to 81,833.56, 122,736.67 and 22,675.21

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Solution

The fourth proportional to 81,833.56, 122,736.67 and 22,675.21 is: 34,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,833.56 : 122,736.67 = 22,675.21 : x
  2. Step 2: Convert to fraction form
    81,833.56/122,736.67 = 22,675.21/x
  3. Step 3: Cross multiply
    81,833.56x = 122,736.67 × 22,675.21
  4. Step 4: Simplify right side
    81,833.56x = 2,783,079,403.42
  5. Step 5: Solve for x
    x = 2,783,079,403.42/81,833.56
  6. Step 6: Final answer
    x = 34,009.02

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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.