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Finding the Fourth Proportional to 50,315.75, 69,435.75 and 27,959.75

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Solution

The fourth proportional to 50,315.75, 69,435.75 and 27,959.75 is: 38,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,315.75 : 69,435.75 = 27,959.75 : x
  2. Step 2: Convert to fraction form
    50,315.75/69,435.75 = 27,959.75/x
  3. Step 3: Cross multiply
    50,315.75x = 69,435.75 × 27,959.75
  4. Step 4: Simplify right side
    50,315.75x = 1,941,406,211.06
  5. Step 5: Solve for x
    x = 1,941,406,211.06/50,315.75
  6. Step 6: Final answer
    x = 38,584.46

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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.