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Finding the Fourth Proportional to 36,667, 50,599.38 and 19,900

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Solution

The fourth proportional to 36,667, 50,599.38 and 19,900 is: 27,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,667 : 50,599.38 = 19,900 : x
  2. Step 2: Convert to fraction form
    36,667/50,599.38 = 19,900/x
  3. Step 3: Cross multiply
    36,667x = 50,599.38 × 19,900
  4. Step 4: Simplify right side
    36,667x = 1,006,927,662
  5. Step 5: Solve for x
    x = 1,006,927,662/36,667
  6. Step 6: Final answer
    x = 27,461.41

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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.