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Finding the Fourth Proportional to 50,645.88, 69,891.04 and 27,984.84

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Solution

The fourth proportional to 50,645.88, 69,891.04 and 27,984.84 is: 38,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,645.88 : 69,891.04 = 27,984.84 : x
  2. Step 2: Convert to fraction form
    50,645.88/69,891.04 = 27,984.84/x
  3. Step 3: Cross multiply
    50,645.88x = 69,891.04 × 27,984.84
  4. Step 4: Simplify right side
    50,645.88x = 1,955,889,571.83
  5. Step 5: Solve for x
    x = 1,955,889,571.83/50,645.88
  6. Step 6: Final answer
    x = 38,618.93

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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.