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Finding the Fourth Proportional to 95,109.68, 142,659.62 and 31,930.29

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Solution

The fourth proportional to 95,109.68, 142,659.62 and 31,930.29 is: 47,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,109.68 : 142,659.62 = 31,930.29 : x
  2. Step 2: Convert to fraction form
    95,109.68/142,659.62 = 31,930.29/x
  3. Step 3: Cross multiply
    95,109.68x = 142,659.62 × 31,930.29
  4. Step 4: Simplify right side
    95,109.68x = 4,555,162,878.24
  5. Step 5: Solve for x
    x = 4,555,162,878.24/95,109.68
  6. Step 6: Final answer
    x = 47,893.79

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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.