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Finding the Fourth Proportional to 33,642, 50,462.04 and 10,265.04

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Solution

The fourth proportional to 33,642, 50,462.04 and 10,265.04 is: 15,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642 : 50,462.04 = 10,265.04 : x
  2. Step 2: Convert to fraction form
    33,642/50,462.04 = 10,265.04/x
  3. Step 3: Cross multiply
    33,642x = 50,462.04 × 10,265.04
  4. Step 4: Simplify right side
    33,642x = 517,994,859.08
  5. Step 5: Solve for x
    x = 517,994,859.08/33,642
  6. Step 6: Final answer
    x = 15,397.27

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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.