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Finding the Fourth Proportional to 71,792.85, 107,696.64 and 27,456.90

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Solution

The fourth proportional to 71,792.85, 107,696.64 and 27,456.90 is: 41,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,792.85 : 107,696.64 = 27,456.90 : x
  2. Step 2: Convert to fraction form
    71,792.85/107,696.64 = 27,456.90/x
  3. Step 3: Cross multiply
    71,792.85x = 107,696.64 × 27,456.90
  4. Step 4: Simplify right side
    71,792.85x = 2,957,015,874.82
  5. Step 5: Solve for x
    x = 2,957,015,874.82/71,792.85
  6. Step 6: Final answer
    x = 41,188.17

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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.