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Finding the Fourth Proportional to 100,267.84, 150,414.76 and 33,679.36

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Solution

The fourth proportional to 100,267.84, 150,414.76 and 33,679.36 is: 50,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,267.84 : 150,414.76 = 33,679.36 : x
  2. Step 2: Convert to fraction form
    100,267.84/150,414.76 = 33,679.36/x
  3. Step 3: Cross multiply
    100,267.84x = 150,414.76 × 33,679.36
  4. Step 4: Simplify right side
    100,267.84x = 5,065,872,851.35
  5. Step 5: Solve for x
    x = 5,065,872,851.35/100,267.84
  6. Step 6: Final answer
    x = 50,523.41

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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.