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Finding the Fourth Proportional to 100,264.34, 150,390.97 and 33,697.59

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Solution

The fourth proportional to 100,264.34, 150,390.97 and 33,697.59 is: 50,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,264.34 : 150,390.97 = 33,697.59 : x
  2. Step 2: Convert to fraction form
    100,264.34/150,390.97 = 33,697.59/x
  3. Step 3: Cross multiply
    100,264.34x = 150,390.97 × 33,697.59
  4. Step 4: Simplify right side
    100,264.34x = 5,067,813,664.86
  5. Step 5: Solve for x
    x = 5,067,813,664.86/100,264.34
  6. Step 6: Final answer
    x = 50,544.53

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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.