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Finding the Fourth Proportional to 78,107.94, 117,183.78 and 31,393.62

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Solution

The fourth proportional to 78,107.94, 117,183.78 and 31,393.62 is: 47,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.94 : 117,183.78 = 31,393.62 : x
  2. Step 2: Convert to fraction form
    78,107.94/117,183.78 = 31,393.62/x
  3. Step 3: Cross multiply
    78,107.94x = 117,183.78 × 31,393.62
  4. Step 4: Simplify right side
    78,107.94x = 3,678,823,059.48
  5. Step 5: Solve for x
    x = 3,678,823,059.48/78,107.94
  6. Step 6: Final answer
    x = 47,099.22

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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.