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Finding the Fourth Proportional to 75,786.76, 104,583.32 and 41,796.68

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Solution

The fourth proportional to 75,786.76, 104,583.32 and 41,796.68 is: 57,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,786.76 : 104,583.32 = 41,796.68 : x
  2. Step 2: Convert to fraction form
    75,786.76/104,583.32 = 41,796.68/x
  3. Step 3: Cross multiply
    75,786.76x = 104,583.32 × 41,796.68
  4. Step 4: Simplify right side
    75,786.76x = 4,371,235,559.38
  5. Step 5: Solve for x
    x = 4,371,235,559.38/75,786.76
  6. Step 6: Final answer
    x = 57,678.09

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Why These Related Problems?

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