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Finding the Fourth Proportional to 121,369, 182,084.22 and 33,817

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Solution

The fourth proportional to 121,369, 182,084.22 and 33,817 is: 50,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,369 : 182,084.22 = 33,817 : x
  2. Step 2: Convert to fraction form
    121,369/182,084.22 = 33,817/x
  3. Step 3: Cross multiply
    121,369x = 182,084.22 × 33,817
  4. Step 4: Simplify right side
    121,369x = 6,157,542,067.74
  5. Step 5: Solve for x
    x = 6,157,542,067.74/121,369
  6. Step 6: Final answer
    x = 50,734.06

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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.