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Finding the Fourth Proportional to 98,067, 135,333.42 and 53,355.96

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Solution

The fourth proportional to 98,067, 135,333.42 and 53,355.96 is: 73,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,067 : 135,333.42 = 53,355.96 : x
  2. Step 2: Convert to fraction form
    98,067/135,333.42 = 53,355.96/x
  3. Step 3: Cross multiply
    98,067x = 135,333.42 × 53,355.96
  4. Step 4: Simplify right side
    98,067x = 7,220,844,544.18
  5. Step 5: Solve for x
    x = 7,220,844,544.18/98,067
  6. Step 6: Final answer
    x = 73,631.75

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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.