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Finding the Fourth Proportional to 41,073.75, 61,610.76 and 9,909

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Solution

The fourth proportional to 41,073.75, 61,610.76 and 9,909 is: 14,863.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,073.75 : 61,610.76 = 9,909 : x
  2. Step 2: Convert to fraction form
    41,073.75/61,610.76 = 9,909/x
  3. Step 3: Cross multiply
    41,073.75x = 61,610.76 × 9,909
  4. Step 4: Simplify right side
    41,073.75x = 610,501,020.84
  5. Step 5: Solve for x
    x = 610,501,020.84/41,073.75
  6. Step 6: Final answer
    x = 14,863.53

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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.