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Finding the Fourth Proportional to 106,350, 159,512.64 and 27,458.02

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Solution

The fourth proportional to 106,350, 159,512.64 and 27,458.02 is: 41,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,350 : 159,512.64 = 27,458.02 : x
  2. Step 2: Convert to fraction form
    106,350/159,512.64 = 27,458.02/x
  3. Step 3: Cross multiply
    106,350x = 159,512.64 × 27,458.02
  4. Step 4: Simplify right side
    106,350x = 4,379,901,259.37
  5. Step 5: Solve for x
    x = 4,379,901,259.37/106,350
  6. Step 6: Final answer
    x = 41,183.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.