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Finding the Fourth Proportional to 100,122.23, 150,193.59 and 33,569.08

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Solution

The fourth proportional to 100,122.23, 150,193.59 and 33,569.08 is: 50,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,122.23 : 150,193.59 = 33,569.08 : x
  2. Step 2: Convert to fraction form
    100,122.23/150,193.59 = 33,569.08/x
  3. Step 3: Cross multiply
    100,122.23x = 150,193.59 × 33,569.08
  4. Step 4: Simplify right side
    100,122.23x = 5,041,861,170.49
  5. Step 5: Solve for x
    x = 5,041,861,170.49/100,122.23
  6. Step 6: Final answer
    x = 50,357.06

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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.