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Finding the Fourth Proportional to 50,222.76, 75,304.98 and 19,041

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Solution

The fourth proportional to 50,222.76, 75,304.98 and 19,041 is: 28,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,222.76 : 75,304.98 = 19,041 : x
  2. Step 2: Convert to fraction form
    50,222.76/75,304.98 = 19,041/x
  3. Step 3: Cross multiply
    50,222.76x = 75,304.98 × 19,041
  4. Step 4: Simplify right side
    50,222.76x = 1,433,882,124.18
  5. Step 5: Solve for x
    x = 1,433,882,124.18/50,222.76
  6. Step 6: Final answer
    x = 28,550.44

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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.