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Finding the Fourth Proportional to 105,969.90, 158,954.44 and 27,084

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Solution

The fourth proportional to 105,969.90, 158,954.44 and 27,084 is: 40,625.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,969.90 : 158,954.44 = 27,084 : x
  2. Step 2: Convert to fraction form
    105,969.90/158,954.44 = 27,084/x
  3. Step 3: Cross multiply
    105,969.90x = 158,954.44 × 27,084
  4. Step 4: Simplify right side
    105,969.90x = 4,305,122,052.96
  5. Step 5: Solve for x
    x = 4,305,122,052.96/105,969.90
  6. Step 6: Final answer
    x = 40,625.90

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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.