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Finding the Fourth Proportional to 65,429.16, 98,114.58 and 23,847

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Solution

The fourth proportional to 65,429.16, 98,114.58 and 23,847 is: 35,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,429.16 : 98,114.58 = 23,847 : x
  2. Step 2: Convert to fraction form
    65,429.16/98,114.58 = 23,847/x
  3. Step 3: Cross multiply
    65,429.16x = 98,114.58 × 23,847
  4. Step 4: Simplify right side
    65,429.16x = 2,339,738,389.26
  5. Step 5: Solve for x
    x = 2,339,738,389.26/65,429.16
  6. Step 6: Final answer
    x = 35,759.87

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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.