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Finding the Fourth Proportional to 41,906.74, 57,831.72 and 23,044

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Solution

The fourth proportional to 41,906.74, 57,831.72 and 23,044 is: 31,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,906.74 : 57,831.72 = 23,044 : x
  2. Step 2: Convert to fraction form
    41,906.74/57,831.72 = 23,044/x
  3. Step 3: Cross multiply
    41,906.74x = 57,831.72 × 23,044
  4. Step 4: Simplify right side
    41,906.74x = 1,332,674,155.68
  5. Step 5: Solve for x
    x = 1,332,674,155.68/41,906.74
  6. Step 6: Final answer
    x = 31,800.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.