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Finding the Fourth Proportional to 50,963.88, 76,415.63 and 15,414.42

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Solution

The fourth proportional to 50,963.88, 76,415.63 and 15,414.42 is: 23,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,963.88 : 76,415.63 = 15,414.42 : x
  2. Step 2: Convert to fraction form
    50,963.88/76,415.63 = 15,414.42/x
  3. Step 3: Cross multiply
    50,963.88x = 76,415.63 × 15,414.42
  4. Step 4: Simplify right side
    50,963.88x = 1,177,902,615.38
  5. Step 5: Solve for x
    x = 1,177,902,615.38/50,963.88
  6. Step 6: Final answer
    x = 23,112.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.