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Finding the Fourth Proportional to 65,418.64, 98,142.60 and 23,865.64

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Solution

The fourth proportional to 65,418.64, 98,142.60 and 23,865.64 is: 35,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,418.64 : 98,142.60 = 23,865.64 : x
  2. Step 2: Convert to fraction form
    65,418.64/98,142.60 = 23,865.64/x
  3. Step 3: Cross multiply
    65,418.64x = 98,142.60 × 23,865.64
  4. Step 4: Simplify right side
    65,418.64x = 2,342,235,960.26
  5. Step 5: Solve for x
    x = 2,342,235,960.26/65,418.64
  6. Step 6: Final answer
    x = 35,803.80

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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.