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Finding the Fourth Proportional to 36,948, 55,422 and 16,171.56

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Solution

The fourth proportional to 36,948, 55,422 and 16,171.56 is: 24,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,948 : 55,422 = 16,171.56 : x
  2. Step 2: Convert to fraction form
    36,948/55,422 = 16,171.56/x
  3. Step 3: Cross multiply
    36,948x = 55,422 × 16,171.56
  4. Step 4: Simplify right side
    36,948x = 896,260,198.32
  5. Step 5: Solve for x
    x = 896,260,198.32/36,948
  6. Step 6: Final answer
    x = 24,257.34

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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.