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Finding the Fourth Proportional to 95,161.87, 142,745.13 and 31,982.92

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Solution

The fourth proportional to 95,161.87, 142,745.13 and 31,982.92 is: 47,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,161.87 : 142,745.13 = 31,982.92 : x
  2. Step 2: Convert to fraction form
    95,161.87/142,745.13 = 31,982.92/x
  3. Step 3: Cross multiply
    95,161.87x = 142,745.13 × 31,982.92
  4. Step 4: Simplify right side
    95,161.87x = 4,565,406,073.18
  5. Step 5: Solve for x
    x = 4,565,406,073.18/95,161.87
  6. Step 6: Final answer
    x = 47,975.16

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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.