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Finding the Fourth Proportional to 33,830.40, 46,694.40 and 20,409.60

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Solution

The fourth proportional to 33,830.40, 46,694.40 and 20,409.60 is: 28,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.40 : 46,694.40 = 20,409.60 : x
  2. Step 2: Convert to fraction form
    33,830.40/46,694.40 = 20,409.60/x
  3. Step 3: Cross multiply
    33,830.40x = 46,694.40 × 20,409.60
  4. Step 4: Simplify right side
    33,830.40x = 953,014,026.24
  5. Step 5: Solve for x
    x = 953,014,026.24/33,830.40
  6. Step 6: Final answer
    x = 28,170.34

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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.