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Finding the Fourth Proportional to 27,976.44, 38,434.80 and 25,031.28

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Solution

The fourth proportional to 27,976.44, 38,434.80 and 25,031.28 is: 34,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976.44 : 38,434.80 = 25,031.28 : x
  2. Step 2: Convert to fraction form
    27,976.44/38,434.80 = 25,031.28/x
  3. Step 3: Cross multiply
    27,976.44x = 38,434.80 × 25,031.28
  4. Step 4: Simplify right side
    27,976.44x = 962,072,240.54
  5. Step 5: Solve for x
    x = 962,072,240.54/27,976.44
  6. Step 6: Final answer
    x = 34,388.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.