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Finding the Fourth Proportional to 41,105.99, 61,659.01 and 9,941.24

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Solution

The fourth proportional to 41,105.99, 61,659.01 and 9,941.24 is: 14,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,105.99 : 61,659.01 = 9,941.24 : x
  2. Step 2: Convert to fraction form
    41,105.99/61,659.01 = 9,941.24/x
  3. Step 3: Cross multiply
    41,105.99x = 61,659.01 × 9,941.24
  4. Step 4: Simplify right side
    41,105.99x = 612,966,708.28
  5. Step 5: Solve for x
    x = 612,966,708.28/41,105.99
  6. Step 6: Final answer
    x = 14,911.86

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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.