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Finding the Fourth Proportional to 65,381.25, 98,086.46 and 23,828.25

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Solution

The fourth proportional to 65,381.25, 98,086.46 and 23,828.25 is: 35,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,381.25 : 98,086.46 = 23,828.25 : x
  2. Step 2: Convert to fraction form
    65,381.25/98,086.46 = 23,828.25/x
  3. Step 3: Cross multiply
    65,381.25x = 98,086.46 × 23,828.25
  4. Step 4: Simplify right side
    65,381.25x = 2,337,228,571.35
  5. Step 5: Solve for x
    x = 2,337,228,571.35/65,381.25
  6. Step 6: Final answer
    x = 35,747.69

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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.