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Finding the Fourth Proportional to 41,265.78, 61,894.86 and 11,682.96

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Solution

The fourth proportional to 41,265.78, 61,894.86 and 11,682.96 is: 17,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,265.78 : 61,894.86 = 11,682.96 : x
  2. Step 2: Convert to fraction form
    41,265.78/61,894.86 = 11,682.96/x
  3. Step 3: Cross multiply
    41,265.78x = 61,894.86 × 11,682.96
  4. Step 4: Simplify right side
    41,265.78x = 723,115,173.59
  5. Step 5: Solve for x
    x = 723,115,173.59/41,265.78
  6. Step 6: Final answer
    x = 17,523.36

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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.