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Finding the Fourth Proportional to 41,012, 56,596.57 and 22,149.13

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Solution

The fourth proportional to 41,012, 56,596.57 and 22,149.13 is: 30,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,012 : 56,596.57 = 22,149.13 : x
  2. Step 2: Convert to fraction form
    41,012/56,596.57 = 22,149.13/x
  3. Step 3: Cross multiply
    41,012x = 56,596.57 × 22,149.13
  4. Step 4: Simplify right side
    41,012x = 1,253,564,786.48
  5. Step 5: Solve for x
    x = 1,253,564,786.48/41,012
  6. Step 6: Final answer
    x = 30,565.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.