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Finding the Fourth Proportional to 84,183.42, 116,169.46 and 45,942

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Solution

The fourth proportional to 84,183.42, 116,169.46 and 45,942 is: 63,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,183.42 : 116,169.46 = 45,942 : x
  2. Step 2: Convert to fraction form
    84,183.42/116,169.46 = 45,942/x
  3. Step 3: Cross multiply
    84,183.42x = 116,169.46 × 45,942
  4. Step 4: Simplify right side
    84,183.42x = 5,337,057,331.32
  5. Step 5: Solve for x
    x = 5,337,057,331.32/84,183.42
  6. Step 6: Final answer
    x = 63,397.96

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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.