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Finding the Fourth Proportional to 31,900.27, 44,014.17 and 21,831.82

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Solution

The fourth proportional to 31,900.27, 44,014.17 and 21,831.82 is: 30,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.27 : 44,014.17 = 21,831.82 : x
  2. Step 2: Convert to fraction form
    31,900.27/44,014.17 = 21,831.82/x
  3. Step 3: Cross multiply
    31,900.27x = 44,014.17 × 21,831.82
  4. Step 4: Simplify right side
    31,900.27x = 960,909,436.89
  5. Step 5: Solve for x
    x = 960,909,436.89/31,900.27
  6. Step 6: Final answer
    x = 30,122.30

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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.