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Finding the Fourth Proportional to 65,164.20, 97,726.80 and 33,982.44

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Solution

The fourth proportional to 65,164.20, 97,726.80 and 33,982.44 is: 50,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,164.20 : 97,726.80 = 33,982.44 : x
  2. Step 2: Convert to fraction form
    65,164.20/97,726.80 = 33,982.44/x
  3. Step 3: Cross multiply
    65,164.20x = 97,726.80 × 33,982.44
  4. Step 4: Simplify right side
    65,164.20x = 3,320,995,117.39
  5. Step 5: Solve for x
    x = 3,320,995,117.39/65,164.20
  6. Step 6: Final answer
    x = 50,963.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.