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Finding the Fourth Proportional to 82,069.25, 123,101.44 and 34,033.01

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Solution

The fourth proportional to 82,069.25, 123,101.44 and 34,033.01 is: 51,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,069.25 : 123,101.44 = 34,033.01 : x
  2. Step 2: Convert to fraction form
    82,069.25/123,101.44 = 34,033.01/x
  3. Step 3: Cross multiply
    82,069.25x = 123,101.44 × 34,033.01
  4. Step 4: Simplify right side
    82,069.25x = 4,189,511,837.94
  5. Step 5: Solve for x
    x = 4,189,511,837.94/82,069.25
  6. Step 6: Final answer
    x = 51,048.50

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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.