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Finding the Fourth Proportional to 100,542.47, 150,814.15 and 33,982.94

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Solution

The fourth proportional to 100,542.47, 150,814.15 and 33,982.94 is: 50,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,542.47 : 150,814.15 = 33,982.94 : x
  2. Step 2: Convert to fraction form
    100,542.47/150,814.15 = 33,982.94/x
  3. Step 3: Cross multiply
    100,542.47x = 150,814.15 × 33,982.94
  4. Step 4: Simplify right side
    100,542.47x = 5,125,108,693.83
  5. Step 5: Solve for x
    x = 5,125,108,693.83/100,542.47
  6. Step 6: Final answer
    x = 50,974.57

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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.