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Finding the Fourth Proportional to 100,412.20, 150,513.21 and 33,829.32

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Solution

The fourth proportional to 100,412.20, 150,513.21 and 33,829.32 is: 50,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,412.20 : 150,513.21 = 33,829.32 : x
  2. Step 2: Convert to fraction form
    100,412.20/150,513.21 = 33,829.32/x
  3. Step 3: Cross multiply
    100,412.20x = 150,513.21 × 33,829.32
  4. Step 4: Simplify right side
    100,412.20x = 5,091,759,545.32
  5. Step 5: Solve for x
    x = 5,091,759,545.32/100,412.20
  6. Step 6: Final answer
    x = 50,708.57

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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.