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Finding the Fourth Proportional to 33,878, 50,834.34 and 16,128.74

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Solution

The fourth proportional to 33,878, 50,834.34 and 16,128.74 is: 24,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,878 : 50,834.34 = 16,128.74 : x
  2. Step 2: Convert to fraction form
    33,878/50,834.34 = 16,128.74/x
  3. Step 3: Cross multiply
    33,878x = 50,834.34 × 16,128.74
  4. Step 4: Simplify right side
    33,878x = 819,893,852.93
  5. Step 5: Solve for x
    x = 819,893,852.93/33,878
  6. Step 6: Final answer
    x = 24,201.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.