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Finding the Fourth Proportional to 33,418, 50,088.12 and 13,672.64

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Solution

The fourth proportional to 33,418, 50,088.12 and 13,672.64 is: 20,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,418 : 50,088.12 = 13,672.64 : x
  2. Step 2: Convert to fraction form
    33,418/50,088.12 = 13,672.64/x
  3. Step 3: Cross multiply
    33,418x = 50,088.12 × 13,672.64
  4. Step 4: Simplify right side
    33,418x = 684,836,833.04
  5. Step 5: Solve for x
    x = 684,836,833.04/33,418
  6. Step 6: Final answer
    x = 20,493.05

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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.