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Finding the Fourth Proportional to 33,893, 50,846.95 and 13,902.61

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Solution

The fourth proportional to 33,893, 50,846.95 and 13,902.61 is: 20,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,893 : 50,846.95 = 13,902.61 : x
  2. Step 2: Convert to fraction form
    33,893/50,846.95 = 13,902.61/x
  3. Step 3: Cross multiply
    33,893x = 50,846.95 × 13,902.61
  4. Step 4: Simplify right side
    33,893x = 706,905,246.03
  5. Step 5: Solve for x
    x = 706,905,246.03/33,893
  6. Step 6: Final answer
    x = 20,856.97

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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.