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Finding the Fourth Proportional to 37,831.21, 52,151.05 and 24,217.25

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Solution

The fourth proportional to 37,831.21, 52,151.05 and 24,217.25 is: 33,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,831.21 : 52,151.05 = 24,217.25 : x
  2. Step 2: Convert to fraction form
    37,831.21/52,151.05 = 24,217.25/x
  3. Step 3: Cross multiply
    37,831.21x = 52,151.05 × 24,217.25
  4. Step 4: Simplify right side
    37,831.21x = 1,262,954,694.31
  5. Step 5: Solve for x
    x = 1,262,954,694.31/37,831.21
  6. Step 6: Final answer
    x = 33,383.94

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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.