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Finding the Fourth Proportional to 41,831.70, 57,728.17 and 22,711.65

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Solution

The fourth proportional to 41,831.70, 57,728.17 and 22,711.65 is: 31,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,831.70 : 57,728.17 = 22,711.65 : x
  2. Step 2: Convert to fraction form
    41,831.70/57,728.17 = 22,711.65/x
  3. Step 3: Cross multiply
    41,831.70x = 57,728.17 × 22,711.65
  4. Step 4: Simplify right side
    41,831.70x = 1,311,101,804.09
  5. Step 5: Solve for x
    x = 1,311,101,804.09/41,831.70
  6. Step 6: Final answer
    x = 31,342.31

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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.