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Finding the Fourth Proportional to 50,647.64, 69,890.13 and 27,986.38

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Solution

The fourth proportional to 50,647.64, 69,890.13 and 27,986.38 is: 38,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,647.64 : 69,890.13 = 27,986.38 : x
  2. Step 2: Convert to fraction form
    50,647.64/69,890.13 = 27,986.38/x
  3. Step 3: Cross multiply
    50,647.64x = 69,890.13 × 27,986.38
  4. Step 4: Simplify right side
    50,647.64x = 1,955,971,736.43
  5. Step 5: Solve for x
    x = 1,955,971,736.43/50,647.64
  6. Step 6: Final answer
    x = 38,619.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.