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Finding the Fourth Proportional to 41,406, 62,110.08 and 13,704

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Solution

The fourth proportional to 41,406, 62,110.08 and 13,704 is: 20,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,406 : 62,110.08 = 13,704 : x
  2. Step 2: Convert to fraction form
    41,406/62,110.08 = 13,704/x
  3. Step 3: Cross multiply
    41,406x = 62,110.08 × 13,704
  4. Step 4: Simplify right side
    41,406x = 851,156,536.32
  5. Step 5: Solve for x
    x = 851,156,536.32/41,406
  6. Step 6: Final answer
    x = 20,556.36

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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.