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Finding the Fourth Proportional to 50,206.50, 69,285.78 and 27,850.50

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Solution

The fourth proportional to 50,206.50, 69,285.78 and 27,850.50 is: 38,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206.50 : 69,285.78 = 27,850.50 : x
  2. Step 2: Convert to fraction form
    50,206.50/69,285.78 = 27,850.50/x
  3. Step 3: Cross multiply
    50,206.50x = 69,285.78 × 27,850.50
  4. Step 4: Simplify right side
    50,206.50x = 1,929,643,615.89
  5. Step 5: Solve for x
    x = 1,929,643,615.89/50,206.50
  6. Step 6: Final answer
    x = 38,434.14

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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.