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Finding the Fourth Proportional to 33,969.96, 46,831.50 and 28,283.76

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Solution

The fourth proportional to 33,969.96, 46,831.50 and 28,283.76 is: 38,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,969.96 : 46,831.50 = 28,283.76 : x
  2. Step 2: Convert to fraction form
    33,969.96/46,831.50 = 28,283.76/x
  3. Step 3: Cross multiply
    33,969.96x = 46,831.50 × 28,283.76
  4. Step 4: Simplify right side
    33,969.96x = 1,324,570,906.44
  5. Step 5: Solve for x
    x = 1,324,570,906.44/33,969.96
  6. Step 6: Final answer
    x = 38,992.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.