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Finding the Fourth Proportional to 76,794.39, 115,174.31 and 27,546.39

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Solution

The fourth proportional to 76,794.39, 115,174.31 and 27,546.39 is: 41,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,794.39 : 115,174.31 = 27,546.39 : x
  2. Step 2: Convert to fraction form
    76,794.39/115,174.31 = 27,546.39/x
  3. Step 3: Cross multiply
    76,794.39x = 115,174.31 × 27,546.39
  4. Step 4: Simplify right side
    76,794.39x = 3,172,636,323.51
  5. Step 5: Solve for x
    x = 3,172,636,323.51/76,794.39
  6. Step 6: Final answer
    x = 41,313.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.