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Finding the Fourth Proportional to 33,851.80, 50,741.70 and 16,310.20

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Solution

The fourth proportional to 33,851.80, 50,741.70 and 16,310.20 is: 24,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,851.80 : 50,741.70 = 16,310.20 : x
  2. Step 2: Convert to fraction form
    33,851.80/50,741.70 = 16,310.20/x
  3. Step 3: Cross multiply
    33,851.80x = 50,741.70 × 16,310.20
  4. Step 4: Simplify right side
    33,851.80x = 827,607,275.34
  5. Step 5: Solve for x
    x = 827,607,275.34/33,851.80
  6. Step 6: Final answer
    x = 24,447.95

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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.