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Finding the Fourth Proportional to 49,144, 67,819.26 and 26,788

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Solution

The fourth proportional to 49,144, 67,819.26 and 26,788 is: 36,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,144 : 67,819.26 = 26,788 : x
  2. Step 2: Convert to fraction form
    49,144/67,819.26 = 26,788/x
  3. Step 3: Cross multiply
    49,144x = 67,819.26 × 26,788
  4. Step 4: Simplify right side
    49,144x = 1,816,742,336.88
  5. Step 5: Solve for x
    x = 1,816,742,336.88/49,144
  6. Step 6: Final answer
    x = 36,967.73

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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.