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Finding the Fourth Proportional to 27,603, 38,092.23 and 15,027.84

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Solution

The fourth proportional to 27,603, 38,092.23 and 15,027.84 is: 20,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,603 : 38,092.23 = 15,027.84 : x
  2. Step 2: Convert to fraction form
    27,603/38,092.23 = 15,027.84/x
  3. Step 3: Cross multiply
    27,603x = 38,092.23 × 15,027.84
  4. Step 4: Simplify right side
    27,603x = 572,443,937.68
  5. Step 5: Solve for x
    x = 572,443,937.68/27,603
  6. Step 6: Final answer
    x = 20,738.47

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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.