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Finding the Fourth Proportional to 50,204.21, 75,269.39 and 23,927.40

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Solution

The fourth proportional to 50,204.21, 75,269.39 and 23,927.40 is: 35,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,204.21 : 75,269.39 = 23,927.40 : x
  2. Step 2: Convert to fraction form
    50,204.21/75,269.39 = 23,927.40/x
  3. Step 3: Cross multiply
    50,204.21x = 75,269.39 × 23,927.40
  4. Step 4: Simplify right side
    50,204.21x = 1,801,000,682.65
  5. Step 5: Solve for x
    x = 1,801,000,682.65/50,204.21
  6. Step 6: Final answer
    x = 35,873.50

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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.