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Finding the Fourth Proportional to 49,866.28, 74,777.22 and 18,268

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Solution

The fourth proportional to 49,866.28, 74,777.22 and 18,268 is: 27,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,866.28 : 74,777.22 = 18,268 : x
  2. Step 2: Convert to fraction form
    49,866.28/74,777.22 = 18,268/x
  3. Step 3: Cross multiply
    49,866.28x = 74,777.22 × 18,268
  4. Step 4: Simplify right side
    49,866.28x = 1,366,030,254.96
  5. Step 5: Solve for x
    x = 1,366,030,254.96/49,866.28
  6. Step 6: Final answer
    x = 27,393.87

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Why These Related Problems?

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