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Finding the Fourth Proportional to 62,086, 85,678.68 and 33,791.89

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Solution

The fourth proportional to 62,086, 85,678.68 and 33,791.89 is: 46,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,086 : 85,678.68 = 33,791.89 : x
  2. Step 2: Convert to fraction form
    62,086/85,678.68 = 33,791.89/x
  3. Step 3: Cross multiply
    62,086x = 85,678.68 × 33,791.89
  4. Step 4: Simplify right side
    62,086x = 2,895,244,529.91
  5. Step 5: Solve for x
    x = 2,895,244,529.91/62,086
  6. Step 6: Final answer
    x = 46,632.81

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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.