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Finding the Fourth Proportional to 71,954.26, 99,270.82 and 41,722.94

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Solution

The fourth proportional to 71,954.26, 99,270.82 and 41,722.94 is: 57,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,954.26 : 99,270.82 = 41,722.94 : x
  2. Step 2: Convert to fraction form
    71,954.26/99,270.82 = 41,722.94/x
  3. Step 3: Cross multiply
    71,954.26x = 99,270.82 × 41,722.94
  4. Step 4: Simplify right side
    71,954.26x = 4,141,870,466.61
  5. Step 5: Solve for x
    x = 4,141,870,466.61/71,954.26
  6. Step 6: Final answer
    x = 57,562.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.