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Finding the Fourth Proportional to 65,378.63, 98,082.53 and 23,825.63

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Solution

The fourth proportional to 65,378.63, 98,082.53 and 23,825.63 is: 35,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,378.63 : 98,082.53 = 23,825.63 : x
  2. Step 2: Convert to fraction form
    65,378.63/98,082.53 = 23,825.63/x
  3. Step 3: Cross multiply
    65,378.63x = 98,082.53 × 23,825.63
  4. Step 4: Simplify right side
    65,378.63x = 2,336,877,459.70
  5. Step 5: Solve for x
    x = 2,336,877,459.70/65,378.63
  6. Step 6: Final answer
    x = 35,743.75

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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.