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Finding the Fourth Proportional to 81,950.94, 122,920.74 and 32,021.46

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Solution

The fourth proportional to 81,950.94, 122,920.74 and 32,021.46 is: 48,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,950.94 : 122,920.74 = 32,021.46 : x
  2. Step 2: Convert to fraction form
    81,950.94/122,920.74 = 32,021.46/x
  3. Step 3: Cross multiply
    81,950.94x = 122,920.74 × 32,021.46
  4. Step 4: Simplify right side
    81,950.94x = 3,936,101,559.08
  5. Step 5: Solve for x
    x = 3,936,101,559.08/81,950.94
  6. Step 6: Final answer
    x = 48,029.97

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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.