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Finding the Fourth Proportional to 100,543.97, 150,816.41 and 33,984.45

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Solution

The fourth proportional to 100,543.97, 150,816.41 and 33,984.45 is: 50,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,543.97 : 150,816.41 = 33,984.45 : x
  2. Step 2: Convert to fraction form
    100,543.97/150,816.41 = 33,984.45/x
  3. Step 3: Cross multiply
    100,543.97x = 150,816.41 × 33,984.45
  4. Step 4: Simplify right side
    100,543.97x = 5,125,412,574.90
  5. Step 5: Solve for x
    x = 5,125,412,574.90/100,543.97
  6. Step 6: Final answer
    x = 50,976.83

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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.