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Finding the Fourth Proportional to 81,643.75, 122,497.11 and 31,758.99

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Solution

The fourth proportional to 81,643.75, 122,497.11 and 31,758.99 is: 47,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,643.75 : 122,497.11 = 31,758.99 : x
  2. Step 2: Convert to fraction form
    81,643.75/122,497.11 = 31,758.99/x
  3. Step 3: Cross multiply
    81,643.75x = 122,497.11 × 31,758.99
  4. Step 4: Simplify right side
    81,643.75x = 3,890,384,032.15
  5. Step 5: Solve for x
    x = 3,890,384,032.15/81,643.75
  6. Step 6: Final answer
    x = 47,650.73

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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.