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Finding the Fourth Proportional to 37,083.84, 55,583.37 and 13,380.54

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Solution

The fourth proportional to 37,083.84, 55,583.37 and 13,380.54 is: 20,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,083.84 : 55,583.37 = 13,380.54 : x
  2. Step 2: Convert to fraction form
    37,083.84/55,583.37 = 13,380.54/x
  3. Step 3: Cross multiply
    37,083.84x = 55,583.37 × 13,380.54
  4. Step 4: Simplify right side
    37,083.84x = 743,735,505.62
  5. Step 5: Solve for x
    x = 743,735,505.62/37,083.84
  6. Step 6: Final answer
    x = 20,055.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.