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Finding the Fourth Proportional to 100,346.94, 150,542.60 and 33,784.88

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Solution

The fourth proportional to 100,346.94, 150,542.60 and 33,784.88 is: 50,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,346.94 : 150,542.60 = 33,784.88 : x
  2. Step 2: Convert to fraction form
    100,346.94/150,542.60 = 33,784.88/x
  3. Step 3: Cross multiply
    100,346.94x = 150,542.60 × 33,784.88
  4. Step 4: Simplify right side
    100,346.94x = 5,086,062,754.25
  5. Step 5: Solve for x
    x = 5,086,062,754.25/100,346.94
  6. Step 6: Final answer
    x = 50,684.78

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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.