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Finding the Fourth Proportional to 95,667, 143,523.54 and 30,003

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Solution

The fourth proportional to 95,667, 143,523.54 and 30,003 is: 45,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,667 : 143,523.54 = 30,003 : x
  2. Step 2: Convert to fraction form
    95,667/143,523.54 = 30,003/x
  3. Step 3: Cross multiply
    95,667x = 143,523.54 × 30,003
  4. Step 4: Simplify right side
    95,667x = 4,306,136,770.62
  5. Step 5: Solve for x
    x = 4,306,136,770.62/95,667
  6. Step 6: Final answer
    x = 45,011.73

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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.