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Finding the Fourth Proportional to 103,634.60, 155,448.12 and 33,512

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Solution

The fourth proportional to 103,634.60, 155,448.12 and 33,512 is: 50,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634.60 : 155,448.12 = 33,512 : x
  2. Step 2: Convert to fraction form
    103,634.60/155,448.12 = 33,512/x
  3. Step 3: Cross multiply
    103,634.60x = 155,448.12 × 33,512
  4. Step 4: Simplify right side
    103,634.60x = 5,209,377,397.44
  5. Step 5: Solve for x
    x = 5,209,377,397.44/103,634.60
  6. Step 6: Final answer
    x = 50,266.78

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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.