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Finding the Fourth Proportional to 100,398.03, 150,565.23 and 33,822.51

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Solution

The fourth proportional to 100,398.03, 150,565.23 and 33,822.51 is: 50,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398.03 : 150,565.23 = 33,822.51 : x
  2. Step 2: Convert to fraction form
    100,398.03/150,565.23 = 33,822.51/x
  3. Step 3: Cross multiply
    100,398.03x = 150,565.23 × 33,822.51
  4. Step 4: Simplify right side
    100,398.03x = 5,092,493,997.33
  5. Step 5: Solve for x
    x = 5,092,493,997.33/100,398.03
  6. Step 6: Final answer
    x = 50,723.05

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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.