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Finding the Fourth Proportional to 27,858.03, 41,788.44 and 9,136.41

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Solution

The fourth proportional to 27,858.03, 41,788.44 and 9,136.41 is: 13,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.03 : 41,788.44 = 9,136.41 : x
  2. Step 2: Convert to fraction form
    27,858.03/41,788.44 = 9,136.41/x
  3. Step 3: Cross multiply
    27,858.03x = 41,788.44 × 9,136.41
  4. Step 4: Simplify right side
    27,858.03x = 381,796,321.10
  5. Step 5: Solve for x
    x = 381,796,321.10/27,858.03
  6. Step 6: Final answer
    x = 13,705.07

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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.