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Finding the Fourth Proportional to 100,406.54, 150,610.29 and 33,847.22

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Solution

The fourth proportional to 100,406.54, 150,610.29 and 33,847.22 is: 50,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406.54 : 150,610.29 = 33,847.22 : x
  2. Step 2: Convert to fraction form
    100,406.54/150,610.29 = 33,847.22/x
  3. Step 3: Cross multiply
    100,406.54x = 150,610.29 × 33,847.22
  4. Step 4: Simplify right side
    100,406.54x = 5,097,739,022.31
  5. Step 5: Solve for x
    x = 5,097,739,022.31/100,406.54
  6. Step 6: Final answer
    x = 50,770.99

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1.5x scale

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.