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Finding the Fourth Proportional to 50,468.42, 69,649.54 and 28,112.42

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Solution

The fourth proportional to 50,468.42, 69,649.54 and 28,112.42 is: 38,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,468.42 : 69,649.54 = 28,112.42 : x
  2. Step 2: Convert to fraction form
    50,468.42/69,649.54 = 28,112.42/x
  3. Step 3: Cross multiply
    50,468.42x = 69,649.54 × 28,112.42
  4. Step 4: Simplify right side
    50,468.42x = 1,958,017,121.29
  5. Step 5: Solve for x
    x = 1,958,017,121.29/50,468.42
  6. Step 6: Final answer
    x = 38,796.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.