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Finding the Fourth Proportional to 27,488.52, 41,142.60 and 20,878.38

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Solution

The fourth proportional to 27,488.52, 41,142.60 and 20,878.38 is: 31,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488.52 : 41,142.60 = 20,878.38 : x
  2. Step 2: Convert to fraction form
    27,488.52/41,142.60 = 20,878.38/x
  3. Step 3: Cross multiply
    27,488.52x = 41,142.60 × 20,878.38
  4. Step 4: Simplify right side
    27,488.52x = 858,990,836.99
  5. Step 5: Solve for x
    x = 858,990,836.99/27,488.52
  6. Step 6: Final answer
    x = 31,249.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.