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Finding the Fourth Proportional to 75,982.25, 104,855.45 and 42,448.25

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Solution

The fourth proportional to 75,982.25, 104,855.45 and 42,448.25 is: 58,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,982.25 : 104,855.45 = 42,448.25 : x
  2. Step 2: Convert to fraction form
    75,982.25/104,855.45 = 42,448.25/x
  3. Step 3: Cross multiply
    75,982.25x = 104,855.45 × 42,448.25
  4. Step 4: Simplify right side
    75,982.25x = 4,450,930,405.36
  5. Step 5: Solve for x
    x = 4,450,930,405.36/75,982.25
  6. Step 6: Final answer
    x = 58,578.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.