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Finding the Fourth Proportional to 89,329, 133,993.50 and 23,665

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Solution

The fourth proportional to 89,329, 133,993.50 and 23,665 is: 35,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,329 : 133,993.50 = 23,665 : x
  2. Step 2: Convert to fraction form
    89,329/133,993.50 = 23,665/x
  3. Step 3: Cross multiply
    89,329x = 133,993.50 × 23,665
  4. Step 4: Simplify right side
    89,329x = 3,170,956,177.50
  5. Step 5: Solve for x
    x = 3,170,956,177.50/89,329
  6. Step 6: Final answer
    x = 35,497.50

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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.