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Finding the Fourth Proportional to 59,751, 89,626.50 and 18,198

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Solution

The fourth proportional to 59,751, 89,626.50 and 18,198 is: 27,297

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,751 : 89,626.50 = 18,198 : x
  2. Step 2: Convert to fraction form
    59,751/89,626.50 = 18,198/x
  3. Step 3: Cross multiply
    59,751x = 89,626.50 × 18,198
  4. Step 4: Simplify right side
    59,751x = 1,631,023,047
  5. Step 5: Solve for x
    x = 1,631,023,047/59,751
  6. Step 6: Final answer
    x = 27,297

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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.