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Finding the Fourth Proportional to 33,942.70, 50,877.60 and 12,874.60

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Solution

The fourth proportional to 33,942.70, 50,877.60 and 12,874.60 is: 19,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,942.70 : 50,877.60 = 12,874.60 : x
  2. Step 2: Convert to fraction form
    33,942.70/50,877.60 = 12,874.60/x
  3. Step 3: Cross multiply
    33,942.70x = 50,877.60 × 12,874.60
  4. Step 4: Simplify right side
    33,942.70x = 655,028,748.96
  5. Step 5: Solve for x
    x = 655,028,748.96/33,942.70
  6. Step 6: Final answer
    x = 19,298.07

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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.