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Finding the Fourth Proportional to 95,666, 143,522.04 and 30,002

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Solution

The fourth proportional to 95,666, 143,522.04 and 30,002 is: 45,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,666 : 143,522.04 = 30,002 : x
  2. Step 2: Convert to fraction form
    95,666/143,522.04 = 30,002/x
  3. Step 3: Cross multiply
    95,666x = 143,522.04 × 30,002
  4. Step 4: Simplify right side
    95,666x = 4,305,948,244.08
  5. Step 5: Solve for x
    x = 4,305,948,244.08/95,666
  6. Step 6: Final answer
    x = 45,010.23

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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.