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Finding the Fourth Proportional to 36,966, 51,013.44 and 20,199

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Solution

The fourth proportional to 36,966, 51,013.44 and 20,199 is: 27,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,966 : 51,013.44 = 20,199 : x
  2. Step 2: Convert to fraction form
    36,966/51,013.44 = 20,199/x
  3. Step 3: Cross multiply
    36,966x = 51,013.44 × 20,199
  4. Step 4: Simplify right side
    36,966x = 1,030,420,474.56
  5. Step 5: Solve for x
    x = 1,030,420,474.56/36,966
  6. Step 6: Final answer
    x = 27,874.82

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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.