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Finding the Fourth Proportional to 82,578.44, 123,825.72 and 35,175.20

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Solution

The fourth proportional to 82,578.44, 123,825.72 and 35,175.20 is: 52,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,578.44 : 123,825.72 = 35,175.20 : x
  2. Step 2: Convert to fraction form
    82,578.44/123,825.72 = 35,175.20/x
  3. Step 3: Cross multiply
    82,578.44x = 123,825.72 × 35,175.20
  4. Step 4: Simplify right side
    82,578.44x = 4,355,594,466.14
  5. Step 5: Solve for x
    x = 4,355,594,466.14/82,578.44
  6. Step 6: Final answer
    x = 52,744.94

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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.