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Finding the Fourth Proportional to 84,046.88, 115,984.46 and 46,321.12

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Solution

The fourth proportional to 84,046.88, 115,984.46 and 46,321.12 is: 63,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,046.88 : 115,984.46 = 46,321.12 : x
  2. Step 2: Convert to fraction form
    84,046.88/115,984.46 = 46,321.12/x
  3. Step 3: Cross multiply
    84,046.88x = 115,984.46 × 46,321.12
  4. Step 4: Simplify right side
    84,046.88x = 5,372,530,089.80
  5. Step 5: Solve for x
    x = 5,372,530,089.80/84,046.88
  6. Step 6: Final answer
    x = 63,923.02

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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.