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Finding the Fourth Proportional to 41,905.50, 57,831.21 and 23,042.22

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Solution

The fourth proportional to 41,905.50, 57,831.21 and 23,042.22 is: 31,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,905.50 : 57,831.21 = 23,042.22 : x
  2. Step 2: Convert to fraction form
    41,905.50/57,831.21 = 23,042.22/x
  3. Step 3: Cross multiply
    41,905.50x = 57,831.21 × 23,042.22
  4. Step 4: Simplify right side
    41,905.50x = 1,332,559,463.69
  5. Step 5: Solve for x
    x = 1,332,559,463.69/41,905.50
  6. Step 6: Final answer
    x = 31,799.15

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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.