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Finding the Fourth Proportional to 75,834.63, 104,651.60 and 41,843.39

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Solution

The fourth proportional to 75,834.63, 104,651.60 and 41,843.39 is: 57,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,834.63 : 104,651.60 = 41,843.39 : x
  2. Step 2: Convert to fraction form
    75,834.63/104,651.60 = 41,843.39/x
  3. Step 3: Cross multiply
    75,834.63x = 104,651.60 × 41,843.39
  4. Step 4: Simplify right side
    75,834.63x = 4,378,976,980.45
  5. Step 5: Solve for x
    x = 4,378,976,980.45/75,834.63
  6. Step 6: Final answer
    x = 57,743.76

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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.