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Finding the Fourth Proportional to 27,083.49, 37,371.35 and 17,015.24

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Solution

The fourth proportional to 27,083.49, 37,371.35 and 17,015.24 is: 23,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,083.49 : 37,371.35 = 17,015.24 : x
  2. Step 2: Convert to fraction form
    27,083.49/37,371.35 = 17,015.24/x
  3. Step 3: Cross multiply
    27,083.49x = 37,371.35 × 17,015.24
  4. Step 4: Simplify right side
    27,083.49x = 635,882,472.38
  5. Step 5: Solve for x
    x = 635,882,472.38/27,083.49
  6. Step 6: Final answer
    x = 23,478.60

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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.