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Finding the Fourth Proportional to 106,489.44, 159,771.78 and 47,319.72

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Solution

The fourth proportional to 106,489.44, 159,771.78 and 47,319.72 is: 70,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,489.44 : 159,771.78 = 47,319.72 : x
  2. Step 2: Convert to fraction form
    106,489.44/159,771.78 = 47,319.72/x
  3. Step 3: Cross multiply
    106,489.44x = 159,771.78 × 47,319.72
  4. Step 4: Simplify right side
    106,489.44x = 7,560,355,893.50
  5. Step 5: Solve for x
    x = 7,560,355,893.50/106,489.44
  6. Step 6: Final answer
    x = 70,996.30

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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.