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Finding the Fourth Proportional to 81,896.75, 122,845.18 and 22,732.47

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Solution

The fourth proportional to 81,896.75, 122,845.18 and 22,732.47 is: 34,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,896.75 : 122,845.18 = 22,732.47 : x
  2. Step 2: Convert to fraction form
    81,896.75/122,845.18 = 22,732.47/x
  3. Step 3: Cross multiply
    81,896.75x = 122,845.18 × 22,732.47
  4. Step 4: Simplify right side
    81,896.75x = 2,792,574,368.99
  5. Step 5: Solve for x
    x = 2,792,574,368.99/81,896.75
  6. Step 6: Final answer
    x = 34,098.72

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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.