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Finding the Fourth Proportional to 57,769.12, 79,738 and 33,896.80

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Solution

The fourth proportional to 57,769.12, 79,738 and 33,896.80 is: 46,787.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769.12 : 79,738 = 33,896.80 : x
  2. Step 2: Convert to fraction form
    57,769.12/79,738 = 33,896.80/x
  3. Step 3: Cross multiply
    57,769.12x = 79,738 × 33,896.80
  4. Step 4: Simplify right side
    57,769.12x = 2,702,863,038.40
  5. Step 5: Solve for x
    x = 2,702,863,038.40/57,769.12
  6. Step 6: Final answer
    x = 46,787.33

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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.