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Finding the Fourth Proportional to 100,364.15, 150,546.48 and 33,851

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Solution

The fourth proportional to 100,364.15, 150,546.48 and 33,851 is: 50,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,364.15 : 150,546.48 = 33,851 : x
  2. Step 2: Convert to fraction form
    100,364.15/150,546.48 = 33,851/x
  3. Step 3: Cross multiply
    100,364.15x = 150,546.48 × 33,851
  4. Step 4: Simplify right side
    100,364.15x = 5,096,148,894.48
  5. Step 5: Solve for x
    x = 5,096,148,894.48/100,364.15
  6. Step 6: Final answer
    x = 50,776.59

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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.