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Finding the Fourth Proportional to 84,286.44, 116,305.38 and 46,558.44

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Solution

The fourth proportional to 84,286.44, 116,305.38 and 46,558.44 is: 64,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,286.44 : 116,305.38 = 46,558.44 : x
  2. Step 2: Convert to fraction form
    84,286.44/116,305.38 = 46,558.44/x
  3. Step 3: Cross multiply
    84,286.44x = 116,305.38 × 46,558.44
  4. Step 4: Simplify right side
    84,286.44x = 5,414,997,056.41
  5. Step 5: Solve for x
    x = 5,414,997,056.41/84,286.44
  6. Step 6: Final answer
    x = 64,245.17

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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.