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Finding the Fourth Proportional to 36,962, 51,007.86 and 20,195

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Solution

The fourth proportional to 36,962, 51,007.86 and 20,195 is: 27,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,962 : 51,007.86 = 20,195 : x
  2. Step 2: Convert to fraction form
    36,962/51,007.86 = 20,195/x
  3. Step 3: Cross multiply
    36,962x = 51,007.86 × 20,195
  4. Step 4: Simplify right side
    36,962x = 1,030,103,732.70
  5. Step 5: Solve for x
    x = 1,030,103,732.70/36,962
  6. Step 6: Final answer
    x = 27,869.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.