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Finding the Fourth Proportional to 41,894, 62,841 and 10,729.26

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Solution

The fourth proportional to 41,894, 62,841 and 10,729.26 is: 16,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,894 : 62,841 = 10,729.26 : x
  2. Step 2: Convert to fraction form
    41,894/62,841 = 10,729.26/x
  3. Step 3: Cross multiply
    41,894x = 62,841 × 10,729.26
  4. Step 4: Simplify right side
    41,894x = 674,237,427.66
  5. Step 5: Solve for x
    x = 674,237,427.66/41,894
  6. Step 6: Final answer
    x = 16,093.89

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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.