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Finding the Fourth Proportional to 49,189, 67,880.82 and 26,833

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Solution

The fourth proportional to 49,189, 67,880.82 and 26,833 is: 37,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,189 : 67,880.82 = 26,833 : x
  2. Step 2: Convert to fraction form
    49,189/67,880.82 = 26,833/x
  3. Step 3: Cross multiply
    49,189x = 67,880.82 × 26,833
  4. Step 4: Simplify right side
    49,189x = 1,821,446,043.06
  5. Step 5: Solve for x
    x = 1,821,446,043.06/49,189
  6. Step 6: Final answer
    x = 37,029.54

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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.