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Finding the Fourth Proportional to 100,412.39, 150,513.49 and 33,829.51

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Solution

The fourth proportional to 100,412.39, 150,513.49 and 33,829.51 is: 50,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,412.39 : 150,513.49 = 33,829.51 : x
  2. Step 2: Convert to fraction form
    100,412.39/150,513.49 = 33,829.51/x
  3. Step 3: Cross multiply
    100,412.39x = 150,513.49 × 33,829.51
  4. Step 4: Simplify right side
    100,412.39x = 5,091,797,445.94
  5. Step 5: Solve for x
    x = 5,091,797,445.94/100,412.39
  6. Step 6: Final answer
    x = 50,708.86

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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.