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Finding the Fourth Proportional to 81,697.94, 122,498.50 and 31,100.77

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Solution

The fourth proportional to 81,697.94, 122,498.50 and 31,100.77 is: 46,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,697.94 : 122,498.50 = 31,100.77 : x
  2. Step 2: Convert to fraction form
    81,697.94/122,498.50 = 31,100.77/x
  3. Step 3: Cross multiply
    81,697.94x = 122,498.50 × 31,100.77
  4. Step 4: Simplify right side
    81,697.94x = 3,809,797,673.85
  5. Step 5: Solve for x
    x = 3,809,797,673.85/81,697.94
  6. Step 6: Final answer
    x = 46,632.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.