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Finding the Fourth Proportional to 55,136.70, 82,715.85 and 23,546.70

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Solution

The fourth proportional to 55,136.70, 82,715.85 and 23,546.70 is: 35,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,136.70 : 82,715.85 = 23,546.70 : x
  2. Step 2: Convert to fraction form
    55,136.70/82,715.85 = 23,546.70/x
  3. Step 3: Cross multiply
    55,136.70x = 82,715.85 × 23,546.70
  4. Step 4: Simplify right side
    55,136.70x = 1,947,685,305.20
  5. Step 5: Solve for x
    x = 1,947,685,305.20/55,136.70
  6. Step 6: Final answer
    x = 35,324.66

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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.