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Finding the Fourth Proportional to 65,794, 90,797 and 35,986.64

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Solution

The fourth proportional to 65,794, 90,797 and 35,986.64 is: 49,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,794 : 90,797 = 35,986.64 : x
  2. Step 2: Convert to fraction form
    65,794/90,797 = 35,986.64/x
  3. Step 3: Cross multiply
    65,794x = 90,797 × 35,986.64
  4. Step 4: Simplify right side
    65,794x = 3,267,478,952.08
  5. Step 5: Solve for x
    x = 3,267,478,952.08/65,794
  6. Step 6: Final answer
    x = 49,662.26

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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.