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Finding the Fourth Proportional to 71,212.46, 106,882.90 and 37,960.22

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Solution

The fourth proportional to 71,212.46, 106,882.90 and 37,960.22 is: 56,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,212.46 : 106,882.90 = 37,960.22 : x
  2. Step 2: Convert to fraction form
    71,212.46/106,882.90 = 37,960.22/x
  3. Step 3: Cross multiply
    71,212.46x = 106,882.90 × 37,960.22
  4. Step 4: Simplify right side
    71,212.46x = 4,057,298,398.24
  5. Step 5: Solve for x
    x = 4,057,298,398.24/71,212.46
  6. Step 6: Final answer
    x = 56,974.56

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1.5x scale

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.