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Finding the Fourth Proportional to 55,268.49, 82,902.74 and 15,825.77

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Solution

The fourth proportional to 55,268.49, 82,902.74 and 15,825.77 is: 23,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,268.49 : 82,902.74 = 15,825.77 : x
  2. Step 2: Convert to fraction form
    55,268.49/82,902.74 = 15,825.77/x
  3. Step 3: Cross multiply
    55,268.49x = 82,902.74 × 15,825.77
  4. Step 4: Simplify right side
    55,268.49x = 1,311,999,201.97
  5. Step 5: Solve for x
    x = 1,311,999,201.97/55,268.49
  6. Step 6: Final answer
    x = 23,738.65

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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.