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Finding the Fourth Proportional to 49,190.34, 67,876.64 and 31,034.22

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Solution

The fourth proportional to 49,190.34, 67,876.64 and 31,034.22 is: 42,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,190.34 : 67,876.64 = 31,034.22 : x
  2. Step 2: Convert to fraction form
    49,190.34/67,876.64 = 31,034.22/x
  3. Step 3: Cross multiply
    49,190.34x = 67,876.64 × 31,034.22
  4. Step 4: Simplify right side
    49,190.34x = 2,106,498,578.62
  5. Step 5: Solve for x
    x = 2,106,498,578.62/49,190.34
  6. Step 6: Final answer
    x = 42,823.42

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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.