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Finding the Fourth Proportional to 67,056.32, 100,606.32 and 31,991.44

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Solution

The fourth proportional to 67,056.32, 100,606.32 and 31,991.44 is: 47,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,056.32 : 100,606.32 = 31,991.44 : x
  2. Step 2: Convert to fraction form
    67,056.32/100,606.32 = 31,991.44/x
  3. Step 3: Cross multiply
    67,056.32x = 100,606.32 × 31,991.44
  4. Step 4: Simplify right side
    67,056.32x = 3,218,541,049.90
  5. Step 5: Solve for x
    x = 3,218,541,049.90/67,056.32
  6. Step 6: Final answer
    x = 47,997.58

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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.