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Finding the Fourth Proportional to 50,206.24, 69,284.68 and 27,850.24

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Solution

The fourth proportional to 50,206.24, 69,284.68 and 27,850.24 is: 38,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206.24 : 69,284.68 = 27,850.24 : x
  2. Step 2: Convert to fraction form
    50,206.24/69,284.68 = 27,850.24/x
  3. Step 3: Cross multiply
    50,206.24x = 69,284.68 × 27,850.24
  4. Step 4: Simplify right side
    50,206.24x = 1,929,594,966.32
  5. Step 5: Solve for x
    x = 1,929,594,966.32/50,206.24
  6. Step 6: Final answer
    x = 38,433.37

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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.