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Finding the Fourth Proportional to 27,844.37, 41,765.93 and 6,784.50

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Solution

The fourth proportional to 27,844.37, 41,765.93 and 6,784.50 is: 10,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.37 : 41,765.93 = 6,784.50 : x
  2. Step 2: Convert to fraction form
    27,844.37/41,765.93 = 6,784.50/x
  3. Step 3: Cross multiply
    27,844.37x = 41,765.93 × 6,784.50
  4. Step 4: Simplify right side
    27,844.37x = 283,361,100.23
  5. Step 5: Solve for x
    x = 283,361,100.23/27,844.37
  6. Step 6: Final answer
    x = 10,176.60

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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.