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Finding the Fourth Proportional to 27,542.31, 38,005.30 and 15,603.09

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Solution

The fourth proportional to 27,542.31, 38,005.30 and 15,603.09 is: 21,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.31 : 38,005.30 = 15,603.09 : x
  2. Step 2: Convert to fraction form
    27,542.31/38,005.30 = 15,603.09/x
  3. Step 3: Cross multiply
    27,542.31x = 38,005.30 × 15,603.09
  4. Step 4: Simplify right side
    27,542.31x = 593,000,116.38
  5. Step 5: Solve for x
    x = 593,000,116.38/27,542.31
  6. Step 6: Final answer
    x = 21,530.51

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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.