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Finding the Fourth Proportional to 27,971.44, 38,604.36 and 25,609.36

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Solution

The fourth proportional to 27,971.44, 38,604.36 and 25,609.36 is: 35,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.44 : 38,604.36 = 25,609.36 : x
  2. Step 2: Convert to fraction form
    27,971.44/38,604.36 = 25,609.36/x
  3. Step 3: Cross multiply
    27,971.44x = 38,604.36 × 25,609.36
  4. Step 4: Simplify right side
    27,971.44x = 988,632,952.81
  5. Step 5: Solve for x
    x = 988,632,952.81/27,971.44
  6. Step 6: Final answer
    x = 35,344.37

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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.