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Finding the Fourth Proportional to 49,190, 67,882.44 and 26,834

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Solution

The fourth proportional to 49,190, 67,882.44 and 26,834 is: 37,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,190 : 67,882.44 = 26,834 : x
  2. Step 2: Convert to fraction form
    49,190/67,882.44 = 26,834/x
  3. Step 3: Cross multiply
    49,190x = 67,882.44 × 26,834
  4. Step 4: Simplify right side
    49,190x = 1,821,557,394.96
  5. Step 5: Solve for x
    x = 1,821,557,394.96/49,190
  6. Step 6: Final answer
    x = 37,031.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.