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Finding the Fourth Proportional to 65,936.17, 90,991.80 and 35,722.26

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Solution

The fourth proportional to 65,936.17, 90,991.80 and 35,722.26 is: 49,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,936.17 : 90,991.80 = 35,722.26 : x
  2. Step 2: Convert to fraction form
    65,936.17/90,991.80 = 35,722.26/x
  3. Step 3: Cross multiply
    65,936.17x = 90,991.80 × 35,722.26
  4. Step 4: Simplify right side
    65,936.17x = 3,250,432,396.25
  5. Step 5: Solve for x
    x = 3,250,432,396.25/65,936.17
  6. Step 6: Final answer
    x = 49,296.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.