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Finding the Fourth Proportional to 39,831.50, 54,971.13 and 21,930.14

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Solution

The fourth proportional to 39,831.50, 54,971.13 and 21,930.14 is: 30,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,831.50 : 54,971.13 = 21,930.14 : x
  2. Step 2: Convert to fraction form
    39,831.50/54,971.13 = 21,930.14/x
  3. Step 3: Cross multiply
    39,831.50x = 54,971.13 × 21,930.14
  4. Step 4: Simplify right side
    39,831.50x = 1,205,524,576.86
  5. Step 5: Solve for x
    x = 1,205,524,576.86/39,831.50
  6. Step 6: Final answer
    x = 30,265.61

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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.