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Finding the Fourth Proportional to 89,898.12, 134,843.94 and 27,567

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Solution

The fourth proportional to 89,898.12, 134,843.94 and 27,567 is: 41,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,898.12 : 134,843.94 = 27,567 : x
  2. Step 2: Convert to fraction form
    89,898.12/134,843.94 = 27,567/x
  3. Step 3: Cross multiply
    89,898.12x = 134,843.94 × 27,567
  4. Step 4: Simplify right side
    89,898.12x = 3,717,242,893.98
  5. Step 5: Solve for x
    x = 3,717,242,893.98/89,898.12
  6. Step 6: Final answer
    x = 41,349.51

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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.