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Finding the Fourth Proportional to 89,822.38, 134,660.49 and 33,631

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Solution

The fourth proportional to 89,822.38, 134,660.49 and 33,631 is: 50,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,822.38 : 134,660.49 = 33,631 : x
  2. Step 2: Convert to fraction form
    89,822.38/134,660.49 = 33,631/x
  3. Step 3: Cross multiply
    89,822.38x = 134,660.49 × 33,631
  4. Step 4: Simplify right side
    89,822.38x = 4,528,766,939.19
  5. Step 5: Solve for x
    x = 4,528,766,939.19/89,822.38
  6. Step 6: Final answer
    x = 50,419.14

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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.