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Finding the Fourth Proportional to 27,887.80, 41,831.44 and 6,827.93

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Solution

The fourth proportional to 27,887.80, 41,831.44 and 6,827.93 is: 10,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,887.80 : 41,831.44 = 6,827.93 : x
  2. Step 2: Convert to fraction form
    27,887.80/41,831.44 = 6,827.93/x
  3. Step 3: Cross multiply
    27,887.80x = 41,831.44 × 6,827.93
  4. Step 4: Simplify right side
    27,887.80x = 285,622,231.63
  5. Step 5: Solve for x
    x = 285,622,231.63/27,887.80
  6. Step 6: Final answer
    x = 10,241.84

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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.