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Finding the Fourth Proportional to 35,478.94, 48,959.19 and 20,163.50

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Solution

The fourth proportional to 35,478.94, 48,959.19 and 20,163.50 is: 27,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478.94 : 48,959.19 = 20,163.50 : x
  2. Step 2: Convert to fraction form
    35,478.94/48,959.19 = 20,163.50/x
  3. Step 3: Cross multiply
    35,478.94x = 48,959.19 × 20,163.50
  4. Step 4: Simplify right side
    35,478.94x = 987,188,627.57
  5. Step 5: Solve for x
    x = 987,188,627.57/35,478.94
  6. Step 6: Final answer
    x = 27,824.64

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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.