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Finding the Fourth Proportional to 33,644, 50,465.04 and 10,267.04

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Solution

The fourth proportional to 33,644, 50,465.04 and 10,267.04 is: 15,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,644 : 50,465.04 = 10,267.04 : x
  2. Step 2: Convert to fraction form
    33,644/50,465.04 = 10,267.04/x
  3. Step 3: Cross multiply
    33,644x = 50,465.04 × 10,267.04
  4. Step 4: Simplify right side
    33,644x = 518,126,584.28
  5. Step 5: Solve for x
    x = 518,126,584.28/33,644
  6. Step 6: Final answer
    x = 15,400.27

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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.