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Finding the Fourth Proportional to 81,910.92, 122,866.43 and 22,746.59

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Solution

The fourth proportional to 81,910.92, 122,866.43 and 22,746.59 is: 34,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,910.92 : 122,866.43 = 22,746.59 : x
  2. Step 2: Convert to fraction form
    81,910.92/122,866.43 = 22,746.59/x
  3. Step 3: Cross multiply
    81,910.92x = 122,866.43 × 22,746.59
  4. Step 4: Simplify right side
    81,910.92x = 2,794,792,307.97
  5. Step 5: Solve for x
    x = 2,794,792,307.97/81,910.92
  6. Step 6: Final answer
    x = 34,119.90

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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.