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Finding the Fourth Proportional to 65,690.66, 90,654.92 and 40,196.57

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Solution

The fourth proportional to 65,690.66, 90,654.92 and 40,196.57 is: 55,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,690.66 : 90,654.92 = 40,196.57 : x
  2. Step 2: Convert to fraction form
    65,690.66/90,654.92 = 40,196.57/x
  3. Step 3: Cross multiply
    65,690.66x = 90,654.92 × 40,196.57
  4. Step 4: Simplify right side
    65,690.66x = 3,644,016,183.37
  5. Step 5: Solve for x
    x = 3,644,016,183.37/65,690.66
  6. Step 6: Final answer
    x = 55,472.37

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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.