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Finding the Fourth Proportional to 41,150.40, 61,696.80 and 16,180.80

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Solution

The fourth proportional to 41,150.40, 61,696.80 and 16,180.80 is: 24,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,150.40 : 61,696.80 = 16,180.80 : x
  2. Step 2: Convert to fraction form
    41,150.40/61,696.80 = 16,180.80/x
  3. Step 3: Cross multiply
    41,150.40x = 61,696.80 × 16,180.80
  4. Step 4: Simplify right side
    41,150.40x = 998,303,581.44
  5. Step 5: Solve for x
    x = 998,303,581.44/41,150.40
  6. Step 6: Final answer
    x = 24,259.88

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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.