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Finding the Fourth Proportional to 84,114.60, 116,076.60 and 45,874.44

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Solution

The fourth proportional to 84,114.60, 116,076.60 and 45,874.44 is: 63,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,114.60 : 116,076.60 = 45,874.44 : x
  2. Step 2: Convert to fraction form
    84,114.60/116,076.60 = 45,874.44/x
  3. Step 3: Cross multiply
    84,114.60x = 116,076.60 × 45,874.44
  4. Step 4: Simplify right side
    84,114.60x = 5,324,949,022.10
  5. Step 5: Solve for x
    x = 5,324,949,022.10/84,114.60
  6. Step 6: Final answer
    x = 63,305.88

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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.