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Finding the Fourth Proportional to 100,459.78, 150,593.82 and 33,865.54

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Solution

The fourth proportional to 100,459.78, 150,593.82 and 33,865.54 is: 50,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,459.78 : 150,593.82 = 33,865.54 : x
  2. Step 2: Convert to fraction form
    100,459.78/150,593.82 = 33,865.54/x
  3. Step 3: Cross multiply
    100,459.78x = 150,593.82 × 33,865.54
  4. Step 4: Simplify right side
    100,459.78x = 5,099,941,034.96
  5. Step 5: Solve for x
    x = 5,099,941,034.96/100,459.78
  6. Step 6: Final answer
    x = 50,766.00

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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.