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Finding the Fourth Proportional to 84,178.96, 116,169.41 and 45,940.96

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Solution

The fourth proportional to 84,178.96, 116,169.41 and 45,940.96 is: 63,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,178.96 : 116,169.41 = 45,940.96 : x
  2. Step 2: Convert to fraction form
    84,178.96/116,169.41 = 45,940.96/x
  3. Step 3: Cross multiply
    84,178.96x = 116,169.41 × 45,940.96
  4. Step 4: Simplify right side
    84,178.96x = 5,336,934,393.60
  5. Step 5: Solve for x
    x = 5,336,934,393.60/84,178.96
  6. Step 6: Final answer
    x = 63,399.87

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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.