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Finding the Fourth Proportional to 100,013.97, 150,035.87 and 36,829.23

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Solution

The fourth proportional to 100,013.97, 150,035.87 and 36,829.23 is: 55,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,013.97 : 150,035.87 = 36,829.23 : x
  2. Step 2: Convert to fraction form
    100,013.97/150,035.87 = 36,829.23/x
  3. Step 3: Cross multiply
    100,013.97x = 150,035.87 × 36,829.23
  4. Step 4: Simplify right side
    100,013.97x = 5,525,705,834.29
  5. Step 5: Solve for x
    x = 5,525,705,834.29/100,013.97
  6. Step 6: Final answer
    x = 55,249.34

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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.