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Finding the Fourth Proportional to 27,891.08, 41,831.24 and 7,900.41

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Solution

The fourth proportional to 27,891.08, 41,831.24 and 7,900.41 is: 11,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891.08 : 41,831.24 = 7,900.41 : x
  2. Step 2: Convert to fraction form
    27,891.08/41,831.24 = 7,900.41/x
  3. Step 3: Cross multiply
    27,891.08x = 41,831.24 × 7,900.41
  4. Step 4: Simplify right side
    27,891.08x = 330,483,946.52
  5. Step 5: Solve for x
    x = 330,483,946.52/27,891.08
  6. Step 6: Final answer
    x = 11,849.09

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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.