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Finding the Fourth Proportional to 84,462.78, 116,550.70 and 57,183.38

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Solution

The fourth proportional to 84,462.78, 116,550.70 and 57,183.38 is: 78,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,462.78 : 116,550.70 = 57,183.38 : x
  2. Step 2: Convert to fraction form
    84,462.78/116,550.70 = 57,183.38/x
  3. Step 3: Cross multiply
    84,462.78x = 116,550.70 × 57,183.38
  4. Step 4: Simplify right side
    84,462.78x = 6,664,762,967.37
  5. Step 5: Solve for x
    x = 6,664,762,967.37/84,462.78
  6. Step 6: Final answer
    x = 78,907.69

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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.