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Finding the Fourth Proportional to 65,825.83, 98,649.25 and 27,843.51

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Solution

The fourth proportional to 65,825.83, 98,649.25 and 27,843.51 is: 41,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,825.83 : 98,649.25 = 27,843.51 : x
  2. Step 2: Convert to fraction form
    65,825.83/98,649.25 = 27,843.51/x
  3. Step 3: Cross multiply
    65,825.83x = 98,649.25 × 27,843.51
  4. Step 4: Simplify right side
    65,825.83x = 2,746,741,378.87
  5. Step 5: Solve for x
    x = 2,746,741,378.87/65,825.83
  6. Step 6: Final answer
    x = 41,727.41

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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.