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Finding the Fourth Proportional to 27,847.30, 38,431.30 and 15,910.38

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Solution

The fourth proportional to 27,847.30, 38,431.30 and 15,910.38 is: 21,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.30 : 38,431.30 = 15,910.38 : x
  2. Step 2: Convert to fraction form
    27,847.30/38,431.30 = 15,910.38/x
  3. Step 3: Cross multiply
    27,847.30x = 38,431.30 × 15,910.38
  4. Step 4: Simplify right side
    27,847.30x = 611,456,513.61
  5. Step 5: Solve for x
    x = 611,456,513.61/27,847.30
  6. Step 6: Final answer
    x = 21,957.48

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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.