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Finding the Fourth Proportional to 65,504.23, 90,331.62 and 41,589.38

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Solution

The fourth proportional to 65,504.23, 90,331.62 and 41,589.38 is: 57,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,504.23 : 90,331.62 = 41,589.38 : x
  2. Step 2: Convert to fraction form
    65,504.23/90,331.62 = 41,589.38/x
  3. Step 3: Cross multiply
    65,504.23x = 90,331.62 × 41,589.38
  4. Step 4: Simplify right side
    65,504.23x = 3,756,836,304.97
  5. Step 5: Solve for x
    x = 3,756,836,304.97/65,504.23
  6. Step 6: Final answer
    x = 57,352.58

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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.