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Finding the Fourth Proportional to 100,338.47, 150,507.70 and 33,773.02

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Solution

The fourth proportional to 100,338.47, 150,507.70 and 33,773.02 is: 50,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,338.47 : 150,507.70 = 33,773.02 : x
  2. Step 2: Convert to fraction form
    100,338.47/150,507.70 = 33,773.02/x
  3. Step 3: Cross multiply
    100,338.47x = 150,507.70 × 33,773.02
  4. Step 4: Simplify right side
    100,338.47x = 5,083,099,562.25
  5. Step 5: Solve for x
    x = 5,083,099,562.25/100,338.47
  6. Step 6: Final answer
    x = 50,659.53

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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.