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Finding the Fourth Proportional to 78,550.44, 117,749.44 and 31,150

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Solution

The fourth proportional to 78,550.44, 117,749.44 and 31,150 is: 46,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,550.44 : 117,749.44 = 31,150 : x
  2. Step 2: Convert to fraction form
    78,550.44/117,749.44 = 31,150/x
  3. Step 3: Cross multiply
    78,550.44x = 117,749.44 × 31,150
  4. Step 4: Simplify right side
    78,550.44x = 3,667,895,056
  5. Step 5: Solve for x
    x = 3,667,895,056/78,550.44
  6. Step 6: Final answer
    x = 46,694.77

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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.