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Finding the Fourth Proportional to 65,378.38, 98,082.15 and 23,825.38

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Solution

The fourth proportional to 65,378.38, 98,082.15 and 23,825.38 is: 35,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,378.38 : 98,082.15 = 23,825.38 : x
  2. Step 2: Convert to fraction form
    65,378.38/98,082.15 = 23,825.38/x
  3. Step 3: Cross multiply
    65,378.38x = 98,082.15 × 23,825.38
  4. Step 4: Simplify right side
    65,378.38x = 2,336,843,885.43
  5. Step 5: Solve for x
    x = 2,336,843,885.43/65,378.38
  6. Step 6: Final answer
    x = 35,743.38

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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.