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Finding the Fourth Proportional to 41,297.70, 61,946.52 and 11,711.69

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Solution

The fourth proportional to 41,297.70, 61,946.52 and 11,711.69 is: 17,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,297.70 : 61,946.52 = 11,711.69 : x
  2. Step 2: Convert to fraction form
    41,297.70/61,946.52 = 11,711.69/x
  3. Step 3: Cross multiply
    41,297.70x = 61,946.52 × 11,711.69
  4. Step 4: Simplify right side
    41,297.70x = 725,498,383.35
  5. Step 5: Solve for x
    x = 725,498,383.35/41,297.70
  6. Step 6: Final answer
    x = 17,567.53

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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.