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Finding the Fourth Proportional to 97,084.80, 145,662.27 and 33,914.25

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Solution

The fourth proportional to 97,084.80, 145,662.27 and 33,914.25 is: 50,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,084.80 : 145,662.27 = 33,914.25 : x
  2. Step 2: Convert to fraction form
    97,084.80/145,662.27 = 33,914.25/x
  3. Step 3: Cross multiply
    97,084.80x = 145,662.27 × 33,914.25
  4. Step 4: Simplify right side
    97,084.80x = 4,940,026,640.35
  5. Step 5: Solve for x
    x = 4,940,026,640.35/97,084.80
  6. Step 6: Final answer
    x = 50,883.63

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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.