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Finding the Fourth Proportional to 33,831.95, 50,751.33 and 11,642.40

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Solution

The fourth proportional to 33,831.95, 50,751.33 and 11,642.40 is: 17,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,831.95 : 50,751.33 = 11,642.40 : x
  2. Step 2: Convert to fraction form
    33,831.95/50,751.33 = 11,642.40/x
  3. Step 3: Cross multiply
    33,831.95x = 50,751.33 × 11,642.40
  4. Step 4: Simplify right side
    33,831.95x = 590,867,240.73
  5. Step 5: Solve for x
    x = 590,867,240.73/33,831.95
  6. Step 6: Final answer
    x = 17,464.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.