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Finding the Fourth Proportional to 27,934.33, 41,901.94 and 6,874.42

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Solution

The fourth proportional to 27,934.33, 41,901.94 and 6,874.42 is: 10,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.33 : 41,901.94 = 6,874.42 : x
  2. Step 2: Convert to fraction form
    27,934.33/41,901.94 = 6,874.42/x
  3. Step 3: Cross multiply
    27,934.33x = 41,901.94 × 6,874.42
  4. Step 4: Simplify right side
    27,934.33x = 288,051,534.37
  5. Step 5: Solve for x
    x = 288,051,534.37/27,934.33
  6. Step 6: Final answer
    x = 10,311.74

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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.