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Finding the Fourth Proportional to 100,098.23, 150,171.30 and 33,538.64

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Solution

The fourth proportional to 100,098.23, 150,171.30 and 33,538.64 is: 50,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,098.23 : 150,171.30 = 33,538.64 : x
  2. Step 2: Convert to fraction form
    100,098.23/150,171.30 = 33,538.64/x
  3. Step 3: Cross multiply
    100,098.23x = 150,171.30 × 33,538.64
  4. Step 4: Simplify right side
    100,098.23x = 5,036,540,418.18
  5. Step 5: Solve for x
    x = 5,036,540,418.18/100,098.23
  6. Step 6: Final answer
    x = 50,315.98

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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.