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Finding the Fourth Proportional to 65,451.44, 98,097.77 and 29,863.98

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Solution

The fourth proportional to 65,451.44, 98,097.77 and 29,863.98 is: 44,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,451.44 : 98,097.77 = 29,863.98 : x
  2. Step 2: Convert to fraction form
    65,451.44/98,097.77 = 29,863.98/x
  3. Step 3: Cross multiply
    65,451.44x = 98,097.77 × 29,863.98
  4. Step 4: Simplify right side
    65,451.44x = 2,929,589,736.04
  5. Step 5: Solve for x
    x = 2,929,589,736.04/65,451.44
  6. Step 6: Final answer
    x = 44,759.74

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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.