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Finding the Fourth Proportional to 33,893.50, 50,847.70 and 13,903.11

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Solution

The fourth proportional to 33,893.50, 50,847.70 and 13,903.11 is: 20,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,893.50 : 50,847.70 = 13,903.11 : x
  2. Step 2: Convert to fraction form
    33,893.50/50,847.70 = 13,903.11/x
  3. Step 3: Cross multiply
    33,893.50x = 50,847.70 × 13,903.11
  4. Step 4: Simplify right side
    33,893.50x = 706,941,096.83
  5. Step 5: Solve for x
    x = 706,941,096.83/33,893.50
  6. Step 6: Final answer
    x = 20,857.72

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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.