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Finding the Fourth Proportional to 47,136.80, 65,049.60 and 25,916

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Solution

The fourth proportional to 47,136.80, 65,049.60 and 25,916 is: 35,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,136.80 : 65,049.60 = 25,916 : x
  2. Step 2: Convert to fraction form
    47,136.80/65,049.60 = 25,916/x
  3. Step 3: Cross multiply
    47,136.80x = 65,049.60 × 25,916
  4. Step 4: Simplify right side
    47,136.80x = 1,685,825,433.60
  5. Step 5: Solve for x
    x = 1,685,825,433.60/47,136.80
  6. Step 6: Final answer
    x = 35,764.53

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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.