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Finding the Fourth Proportional to 65,635.85, 98,491.97 and 27,682.76

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Solution

The fourth proportional to 65,635.85, 98,491.97 and 27,682.76 is: 41,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,635.85 : 98,491.97 = 27,682.76 : x
  2. Step 2: Convert to fraction form
    65,635.85/98,491.97 = 27,682.76/x
  3. Step 3: Cross multiply
    65,635.85x = 98,491.97 × 27,682.76
  4. Step 4: Simplify right side
    65,635.85x = 2,726,529,429.02
  5. Step 5: Solve for x
    x = 2,726,529,429.02/65,635.85
  6. Step 6: Final answer
    x = 41,540.25

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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.