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Finding the Fourth Proportional to 50,567.36, 69,782.85 and 27,907.74

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Solution

The fourth proportional to 50,567.36, 69,782.85 and 27,907.74 is: 38,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,567.36 : 69,782.85 = 27,907.74 : x
  2. Step 2: Convert to fraction form
    50,567.36/69,782.85 = 27,907.74/x
  3. Step 3: Cross multiply
    50,567.36x = 69,782.85 × 27,907.74
  4. Step 4: Simplify right side
    50,567.36x = 1,947,481,634.26
  5. Step 5: Solve for x
    x = 1,947,481,634.26/50,567.36
  6. Step 6: Final answer
    x = 38,512.63

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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.