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Finding the Fourth Proportional to 50,208.31, 69,287.02 and 27,546.87

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Solution

The fourth proportional to 50,208.31, 69,287.02 and 27,546.87 is: 38,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,208.31 : 69,287.02 = 27,546.87 : x
  2. Step 2: Convert to fraction form
    50,208.31/69,287.02 = 27,546.87/x
  3. Step 3: Cross multiply
    50,208.31x = 69,287.02 × 27,546.87
  4. Step 4: Simplify right side
    50,208.31x = 1,908,640,532.63
  5. Step 5: Solve for x
    x = 1,908,640,532.63/50,208.31
  6. Step 6: Final answer
    x = 38,014.43

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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.