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Finding the Fourth Proportional to 89,288, 133,932 and 23,624

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Solution

The fourth proportional to 89,288, 133,932 and 23,624 is: 35,436

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,288 : 133,932 = 23,624 : x
  2. Step 2: Convert to fraction form
    89,288/133,932 = 23,624/x
  3. Step 3: Cross multiply
    89,288x = 133,932 × 23,624
  4. Step 4: Simplify right side
    89,288x = 3,164,009,568
  5. Step 5: Solve for x
    x = 3,164,009,568/89,288
  6. Step 6: Final answer
    x = 35,436

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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.