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Finding the Fourth Proportional to 51,894.56, 77,792 and 33,121.60

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Solution

The fourth proportional to 51,894.56, 77,792 and 33,121.60 is: 49,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,894.56 : 77,792 = 33,121.60 : x
  2. Step 2: Convert to fraction form
    51,894.56/77,792 = 33,121.60/x
  3. Step 3: Cross multiply
    51,894.56x = 77,792 × 33,121.60
  4. Step 4: Simplify right side
    51,894.56x = 2,576,595,507.20
  5. Step 5: Solve for x
    x = 2,576,595,507.20/51,894.56
  6. Step 6: Final answer
    x = 49,650.59

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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.