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Finding the Fourth Proportional to 27,615.36, 38,109.24 and 15,040.16

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Solution

The fourth proportional to 27,615.36, 38,109.24 and 15,040.16 is: 20,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.36 : 38,109.24 = 15,040.16 : x
  2. Step 2: Convert to fraction form
    27,615.36/38,109.24 = 15,040.16/x
  3. Step 3: Cross multiply
    27,615.36x = 38,109.24 × 15,040.16
  4. Step 4: Simplify right side
    27,615.36x = 573,169,067.08
  5. Step 5: Solve for x
    x = 573,169,067.08/27,615.36
  6. Step 6: Final answer
    x = 20,755.44

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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.