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Finding the Fourth Proportional to 27,850.28, 38,433.50 and 16,672.28

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Solution

The fourth proportional to 27,850.28, 38,433.50 and 16,672.28 is: 23,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850.28 : 38,433.50 = 16,672.28 : x
  2. Step 2: Convert to fraction form
    27,850.28/38,433.50 = 16,672.28/x
  3. Step 3: Cross multiply
    27,850.28x = 38,433.50 × 16,672.28
  4. Step 4: Simplify right side
    27,850.28x = 640,774,073.38
  5. Step 5: Solve for x
    x = 640,774,073.38/27,850.28
  6. Step 6: Final answer
    x = 23,007.81

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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.