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Finding the Fourth Proportional to 70,914.94, 106,337.31 and 41,340.22

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Solution

The fourth proportional to 70,914.94, 106,337.31 and 41,340.22 is: 61,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,914.94 : 106,337.31 = 41,340.22 : x
  2. Step 2: Convert to fraction form
    70,914.94/106,337.31 = 41,340.22/x
  3. Step 3: Cross multiply
    70,914.94x = 106,337.31 × 41,340.22
  4. Step 4: Simplify right side
    70,914.94x = 4,396,007,789.61
  5. Step 5: Solve for x
    x = 4,396,007,789.61/70,914.94
  6. Step 6: Final answer
    x = 61,989.87

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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.