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Finding the Fourth Proportional to 65,378.88, 98,082.89 and 23,825.88

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Solution

The fourth proportional to 65,378.88, 98,082.89 and 23,825.88 is: 35,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,378.88 : 98,082.89 = 23,825.88 : x
  2. Step 2: Convert to fraction form
    65,378.88/98,082.89 = 23,825.88/x
  3. Step 3: Cross multiply
    65,378.88x = 98,082.89 × 23,825.88
  4. Step 4: Simplify right side
    65,378.88x = 2,336,911,167.19
  5. Step 5: Solve for x
    x = 2,336,911,167.19/65,378.88
  6. Step 6: Final answer
    x = 35,744.13

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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.