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Finding the Fourth Proportional to 95,162.40, 142,745.88 and 31,983.44

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Solution

The fourth proportional to 95,162.40, 142,745.88 and 31,983.44 is: 47,975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,162.40 : 142,745.88 = 31,983.44 : x
  2. Step 2: Convert to fraction form
    95,162.40/142,745.88 = 31,983.44/x
  3. Step 3: Cross multiply
    95,162.40x = 142,745.88 × 31,983.44
  4. Step 4: Simplify right side
    95,162.40x = 4,565,504,288.23
  5. Step 5: Solve for x
    x = 4,565,504,288.23/95,162.40
  6. Step 6: Final answer
    x = 47,975.93

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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.