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Finding the Fourth Proportional to 100,483.44, 150,728.34 and 50,536.25

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Solution

The fourth proportional to 100,483.44, 150,728.34 and 50,536.25 is: 75,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,483.44 : 150,728.34 = 50,536.25 : x
  2. Step 2: Convert to fraction form
    100,483.44/150,728.34 = 50,536.25/x
  3. Step 3: Cross multiply
    100,483.44x = 150,728.34 × 50,536.25
  4. Step 4: Simplify right side
    100,483.44x = 7,617,245,921.27
  5. Step 5: Solve for x
    x = 7,617,245,921.27/100,483.44
  6. Step 6: Final answer
    x = 75,805.99

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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.