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Finding the Fourth Proportional to 73,896.80, 110,845.20 and 51,735.20

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Solution

The fourth proportional to 73,896.80, 110,845.20 and 51,735.20 is: 77,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,896.80 : 110,845.20 = 51,735.20 : x
  2. Step 2: Convert to fraction form
    73,896.80/110,845.20 = 51,735.20/x
  3. Step 3: Cross multiply
    73,896.80x = 110,845.20 × 51,735.20
  4. Step 4: Simplify right side
    73,896.80x = 5,734,598,591.04
  5. Step 5: Solve for x
    x = 5,734,598,591.04/73,896.80
  6. Step 6: Final answer
    x = 77,602.80

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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.