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Finding the Fourth Proportional to 95,322, 142,883.22 and 32,120.28

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Solution

The fourth proportional to 95,322, 142,883.22 and 32,120.28 is: 48,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,322 : 142,883.22 = 32,120.28 : x
  2. Step 2: Convert to fraction form
    95,322/142,883.22 = 32,120.28/x
  3. Step 3: Cross multiply
    95,322x = 142,883.22 × 32,120.28
  4. Step 4: Simplify right side
    95,322x = 4,589,449,033.70
  5. Step 5: Solve for x
    x = 4,589,449,033.70/95,322
  6. Step 6: Final answer
    x = 48,146.80

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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.