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Finding the Fourth Proportional to 95,190.30, 142,797.69 and 31,983.12

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Solution

The fourth proportional to 95,190.30, 142,797.69 and 31,983.12 is: 47,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,190.30 : 142,797.69 = 31,983.12 : x
  2. Step 2: Convert to fraction form
    95,190.30/142,797.69 = 31,983.12/x
  3. Step 3: Cross multiply
    95,190.30x = 142,797.69 × 31,983.12
  4. Step 4: Simplify right side
    95,190.30x = 4,567,115,654.99
  5. Step 5: Solve for x
    x = 4,567,115,654.99/95,190.30
  6. Step 6: Final answer
    x = 47,978.79

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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.