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Finding the Fourth Proportional to 27,542.85, 38,009.09 and 15,605.48

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Solution

The fourth proportional to 27,542.85, 38,009.09 and 15,605.48 is: 21,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.85 : 38,009.09 = 15,605.48 : x
  2. Step 2: Convert to fraction form
    27,542.85/38,009.09 = 15,605.48/x
  3. Step 3: Cross multiply
    27,542.85x = 38,009.09 × 15,605.48
  4. Step 4: Simplify right side
    27,542.85x = 593,149,825.74
  5. Step 5: Solve for x
    x = 593,149,825.74/27,542.85
  6. Step 6: Final answer
    x = 21,535.53

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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.