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Finding the Fourth Proportional to 27,919.26, 38,483.62 and 22,874.58

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Solution

The fourth proportional to 27,919.26, 38,483.62 and 22,874.58 is: 31,530.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,919.26 : 38,483.62 = 22,874.58 : x
  2. Step 2: Convert to fraction form
    27,919.26/38,483.62 = 22,874.58/x
  3. Step 3: Cross multiply
    27,919.26x = 38,483.62 × 22,874.58
  4. Step 4: Simplify right side
    27,919.26x = 880,296,644.38
  5. Step 5: Solve for x
    x = 880,296,644.38/27,919.26
  6. Step 6: Final answer
    x = 31,530.09

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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.