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Finding the Fourth Proportional to 27,682.72, 38,202.15 and 17,078.51

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Solution

The fourth proportional to 27,682.72, 38,202.15 and 17,078.51 is: 23,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.72 : 38,202.15 = 17,078.51 : x
  2. Step 2: Convert to fraction form
    27,682.72/38,202.15 = 17,078.51/x
  3. Step 3: Cross multiply
    27,682.72x = 38,202.15 × 17,078.51
  4. Step 4: Simplify right side
    27,682.72x = 652,435,800.80
  5. Step 5: Solve for x
    x = 652,435,800.80/27,682.72
  6. Step 6: Final answer
    x = 23,568.34

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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.