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Finding the Fourth Proportional to 100,539.54, 150,812.92 and 50,592.44

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Solution

The fourth proportional to 100,539.54, 150,812.92 and 50,592.44 is: 75,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,539.54 : 150,812.92 = 50,592.44 : x
  2. Step 2: Convert to fraction form
    100,539.54/150,812.92 = 50,592.44/x
  3. Step 3: Cross multiply
    100,539.54x = 150,812.92 × 50,592.44
  4. Step 4: Simplify right side
    100,539.54x = 7,629,993,606.32
  5. Step 5: Solve for x
    x = 7,629,993,606.32/100,539.54
  6. Step 6: Final answer
    x = 75,890.48

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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.