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Finding the Fourth Proportional to 84,108.68, 116,067.84 and 46,380.50

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Solution

The fourth proportional to 84,108.68, 116,067.84 and 46,380.50 is: 64,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,108.68 : 116,067.84 = 46,380.50 : x
  2. Step 2: Convert to fraction form
    84,108.68/116,067.84 = 46,380.50/x
  3. Step 3: Cross multiply
    84,108.68x = 116,067.84 × 46,380.50
  4. Step 4: Simplify right side
    84,108.68x = 5,383,284,453.12
  5. Step 5: Solve for x
    x = 5,383,284,453.12/84,108.68
  6. Step 6: Final answer
    x = 64,003.91

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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.