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Finding the Fourth Proportional to 50,923, 70,274.22 and 28,567.48

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Solution

The fourth proportional to 50,923, 70,274.22 and 28,567.48 is: 39,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,923 : 70,274.22 = 28,567.48 : x
  2. Step 2: Convert to fraction form
    50,923/70,274.22 = 28,567.48/x
  3. Step 3: Cross multiply
    50,923x = 70,274.22 × 28,567.48
  4. Step 4: Simplify right side
    50,923x = 2,007,557,374.37
  5. Step 5: Solve for x
    x = 2,007,557,374.37/50,923
  6. Step 6: Final answer
    x = 39,423.39

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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.