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Finding the Fourth Proportional to 27,675.66, 38,096.37 and 20,949.42

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Solution

The fourth proportional to 27,675.66, 38,096.37 and 20,949.42 is: 28,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.66 : 38,096.37 = 20,949.42 : x
  2. Step 2: Convert to fraction form
    27,675.66/38,096.37 = 20,949.42/x
  3. Step 3: Cross multiply
    27,675.66x = 38,096.37 × 20,949.42
  4. Step 4: Simplify right side
    27,675.66x = 798,096,855.61
  5. Step 5: Solve for x
    x = 798,096,855.61/27,675.66
  6. Step 6: Final answer
    x = 28,837.50

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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.