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Finding the Fourth Proportional to 51,674.60, 71,340 and 33,787.68

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Solution

The fourth proportional to 51,674.60, 71,340 and 33,787.68 is: 46,645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,674.60 : 71,340 = 33,787.68 : x
  2. Step 2: Convert to fraction form
    51,674.60/71,340 = 33,787.68/x
  3. Step 3: Cross multiply
    51,674.60x = 71,340 × 33,787.68
  4. Step 4: Simplify right side
    51,674.60x = 2,410,413,091.20
  5. Step 5: Solve for x
    x = 2,410,413,091.20/51,674.60
  6. Step 6: Final answer
    x = 46,645.99

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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.