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Finding the Fourth Proportional to 100,400.50, 150,570.03 and 33,822.77

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Solution

The fourth proportional to 100,400.50, 150,570.03 and 33,822.77 is: 50,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,400.50 : 150,570.03 = 33,822.77 : x
  2. Step 2: Convert to fraction form
    100,400.50/150,570.03 = 33,822.77/x
  3. Step 3: Cross multiply
    100,400.50x = 150,570.03 × 33,822.77
  4. Step 4: Simplify right side
    100,400.50x = 5,092,695,493.58
  5. Step 5: Solve for x
    x = 5,092,695,493.58/100,400.50
  6. Step 6: Final answer
    x = 50,723.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.