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Finding the Fourth Proportional to 67,057.88, 100,614.36 and 31,975.16

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Solution

The fourth proportional to 67,057.88, 100,614.36 and 31,975.16 is: 47,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,057.88 : 100,614.36 = 31,975.16 : x
  2. Step 2: Convert to fraction form
    67,057.88/100,614.36 = 31,975.16/x
  3. Step 3: Cross multiply
    67,057.88x = 100,614.36 × 31,975.16
  4. Step 4: Simplify right side
    67,057.88x = 3,217,160,259.30
  5. Step 5: Solve for x
    x = 3,217,160,259.30/67,057.88
  6. Step 6: Final answer
    x = 47,975.87

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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.