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Finding the Fourth Proportional to 50,468, 69,645.84 and 28,113.44

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Solution

The fourth proportional to 50,468, 69,645.84 and 28,113.44 is: 38,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,468 : 69,645.84 = 28,113.44 : x
  2. Step 2: Convert to fraction form
    50,468/69,645.84 = 28,113.44/x
  3. Step 3: Cross multiply
    50,468x = 69,645.84 × 28,113.44
  4. Step 4: Simplify right side
    50,468x = 1,957,984,144.09
  5. Step 5: Solve for x
    x = 1,957,984,144.09/50,468
  6. Step 6: Final answer
    x = 38,796.55

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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.