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Finding the Fourth Proportional to 27,831.48, 41,751.12 and 8,111.48

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Solution

The fourth proportional to 27,831.48, 41,751.12 and 8,111.48 is: 12,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.48 : 41,751.12 = 8,111.48 : x
  2. Step 2: Convert to fraction form
    27,831.48/41,751.12 = 8,111.48/x
  3. Step 3: Cross multiply
    27,831.48x = 41,751.12 × 8,111.48
  4. Step 4: Simplify right side
    27,831.48x = 338,663,374.86
  5. Step 5: Solve for x
    x = 338,663,374.86/27,831.48
  6. Step 6: Final answer
    x = 12,168.36

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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.