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Finding the Fourth Proportional to 100,510.44, 150,768.84 and 50,563.28

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Solution

The fourth proportional to 100,510.44, 150,768.84 and 50,563.28 is: 75,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,510.44 : 150,768.84 = 50,563.28 : x
  2. Step 2: Convert to fraction form
    100,510.44/150,768.84 = 50,563.28/x
  3. Step 3: Cross multiply
    100,510.44x = 150,768.84 × 50,563.28
  4. Step 4: Simplify right side
    100,510.44x = 7,623,367,072.20
  5. Step 5: Solve for x
    x = 7,623,367,072.20/100,510.44
  6. Step 6: Final answer
    x = 75,846.52

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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.