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Finding the Fourth Proportional to 89,217, 133,844.94 and 33,813

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Solution

The fourth proportional to 89,217, 133,844.94 and 33,813 is: 50,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,217 : 133,844.94 = 33,813 : x
  2. Step 2: Convert to fraction form
    89,217/133,844.94 = 33,813/x
  3. Step 3: Cross multiply
    89,217x = 133,844.94 × 33,813
  4. Step 4: Simplify right side
    89,217x = 4,525,698,956.22
  5. Step 5: Solve for x
    x = 4,525,698,956.22/89,217
  6. Step 6: Final answer
    x = 50,726.87

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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.