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Finding the Fourth Proportional to 83,855.73, 125,792.10 and 27,696

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Solution

The fourth proportional to 83,855.73, 125,792.10 and 27,696 is: 41,546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,855.73 : 125,792.10 = 27,696 : x
  2. Step 2: Convert to fraction form
    83,855.73/125,792.10 = 27,696/x
  3. Step 3: Cross multiply
    83,855.73x = 125,792.10 × 27,696
  4. Step 4: Simplify right side
    83,855.73x = 3,483,938,001.60
  5. Step 5: Solve for x
    x = 3,483,938,001.60/83,855.73
  6. Step 6: Final answer
    x = 41,546.81

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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.