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Finding the Fourth Proportional to 100,432.86, 150,544.11 and 33,849.96

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Solution

The fourth proportional to 100,432.86, 150,544.11 and 33,849.96 is: 50,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,432.86 : 150,544.11 = 33,849.96 : x
  2. Step 2: Convert to fraction form
    100,432.86/150,544.11 = 33,849.96/x
  3. Step 3: Cross multiply
    100,432.86x = 150,544.11 × 33,849.96
  4. Step 4: Simplify right side
    100,432.86x = 5,095,912,101.74
  5. Step 5: Solve for x
    x = 5,095,912,101.74/100,432.86
  6. Step 6: Final answer
    x = 50,739.49

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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.