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Finding the Fourth Proportional to 50,512, 75,771.04 and 15,451.96

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Solution

The fourth proportional to 50,512, 75,771.04 and 15,451.96 is: 23,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,512 : 75,771.04 = 15,451.96 : x
  2. Step 2: Convert to fraction form
    50,512/75,771.04 = 15,451.96/x
  3. Step 3: Cross multiply
    50,512x = 75,771.04 × 15,451.96
  4. Step 4: Simplify right side
    50,512x = 1,170,811,079.24
  5. Step 5: Solve for x
    x = 1,170,811,079.24/50,512
  6. Step 6: Final answer
    x = 23,178.87

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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.