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Finding the Fourth Proportional to 49,874.50, 68,826.81 and 27,518.50

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Solution

The fourth proportional to 49,874.50, 68,826.81 and 27,518.50 is: 37,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,874.50 : 68,826.81 = 27,518.50 : x
  2. Step 2: Convert to fraction form
    49,874.50/68,826.81 = 27,518.50/x
  3. Step 3: Cross multiply
    49,874.50x = 68,826.81 × 27,518.50
  4. Step 4: Simplify right side
    49,874.50x = 1,894,010,570.99
  5. Step 5: Solve for x
    x = 1,894,010,570.99/49,874.50
  6. Step 6: Final answer
    x = 37,975.53

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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.