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Finding the Fourth Proportional to 65,782.62, 98,679.06 and 23,668.20

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Solution

The fourth proportional to 65,782.62, 98,679.06 and 23,668.20 is: 35,504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,782.62 : 98,679.06 = 23,668.20 : x
  2. Step 2: Convert to fraction form
    65,782.62/98,679.06 = 23,668.20/x
  3. Step 3: Cross multiply
    65,782.62x = 98,679.06 × 23,668.20
  4. Step 4: Simplify right side
    65,782.62x = 2,335,555,727.89
  5. Step 5: Solve for x
    x = 2,335,555,727.89/65,782.62
  6. Step 6: Final answer
    x = 35,504.15

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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.