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Finding the Fourth Proportional to 27,971.04, 41,946 and 8,244

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Solution

The fourth proportional to 27,971.04, 41,946 and 8,244 is: 12,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.04 : 41,946 = 8,244 : x
  2. Step 2: Convert to fraction form
    27,971.04/41,946 = 8,244/x
  3. Step 3: Cross multiply
    27,971.04x = 41,946 × 8,244
  4. Step 4: Simplify right side
    27,971.04x = 345,802,824
  5. Step 5: Solve for x
    x = 345,802,824/27,971.04
  6. Step 6: Final answer
    x = 12,362.89

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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.