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Finding the Fourth Proportional to 74,615.05, 102,974.10 and 41,912.11

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Solution

The fourth proportional to 74,615.05, 102,974.10 and 41,912.11 is: 57,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,615.05 : 102,974.10 = 41,912.11 : x
  2. Step 2: Convert to fraction form
    74,615.05/102,974.10 = 41,912.11/x
  3. Step 3: Cross multiply
    74,615.05x = 102,974.10 × 41,912.11
  4. Step 4: Simplify right side
    74,615.05x = 4,315,861,806.35
  5. Step 5: Solve for x
    x = 4,315,861,806.35/74,615.05
  6. Step 6: Final answer
    x = 57,841.71

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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.