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Finding the Fourth Proportional to 33,784.60, 50,691.30 and 16,245.40

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Solution

The fourth proportional to 33,784.60, 50,691.30 and 16,245.40 is: 24,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,784.60 : 50,691.30 = 16,245.40 : x
  2. Step 2: Convert to fraction form
    33,784.60/50,691.30 = 16,245.40/x
  3. Step 3: Cross multiply
    33,784.60x = 50,691.30 × 16,245.40
  4. Step 4: Simplify right side
    33,784.60x = 823,500,445.02
  5. Step 5: Solve for x
    x = 823,500,445.02/33,784.60
  6. Step 6: Final answer
    x = 24,375.02

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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.