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Finding the Fourth Proportional to 71,635.53, 107,414.69 and 54,954.39

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Solution

The fourth proportional to 71,635.53, 107,414.69 and 54,954.39 is: 82,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,635.53 : 107,414.69 = 54,954.39 : x
  2. Step 2: Convert to fraction form
    71,635.53/107,414.69 = 54,954.39/x
  3. Step 3: Cross multiply
    71,635.53x = 107,414.69 × 54,954.39
  4. Step 4: Simplify right side
    71,635.53x = 5,902,908,491.22
  5. Step 5: Solve for x
    x = 5,902,908,491.22/71,635.53
  6. Step 6: Final answer
    x = 82,401.97

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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.