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Finding the Fourth Proportional to 33,707, 46,512.78 and 21,770.84

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Solution

The fourth proportional to 33,707, 46,512.78 and 21,770.84 is: 30,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,707 : 46,512.78 = 21,770.84 : x
  2. Step 2: Convert to fraction form
    33,707/46,512.78 = 21,770.84/x
  3. Step 3: Cross multiply
    33,707x = 46,512.78 × 21,770.84
  4. Step 4: Simplify right side
    33,707x = 1,012,622,291.34
  5. Step 5: Solve for x
    x = 1,012,622,291.34/33,707
  6. Step 6: Final answer
    x = 30,041.90

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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.