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Finding the Fourth Proportional to 89,067, 133,606.96 and 29,902.16

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Solution

The fourth proportional to 89,067, 133,606.96 and 29,902.16 is: 44,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,067 : 133,606.96 = 29,902.16 : x
  2. Step 2: Convert to fraction form
    89,067/133,606.96 = 29,902.16/x
  3. Step 3: Cross multiply
    89,067x = 133,606.96 × 29,902.16
  4. Step 4: Simplify right side
    89,067x = 3,995,136,695.03
  5. Step 5: Solve for x
    x = 3,995,136,695.03/89,067
  6. Step 6: Final answer
    x = 44,855.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.