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Finding the Fourth Proportional to 50,503.50, 75,780.27 and 37,143.54

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Solution

The fourth proportional to 50,503.50, 75,780.27 and 37,143.54 is: 55,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,503.50 : 75,780.27 = 37,143.54 : x
  2. Step 2: Convert to fraction form
    50,503.50/75,780.27 = 37,143.54/x
  3. Step 3: Cross multiply
    50,503.50x = 75,780.27 × 37,143.54
  4. Step 4: Simplify right side
    50,503.50x = 2,814,747,489.96
  5. Step 5: Solve for x
    x = 2,814,747,489.96/50,503.50
  6. Step 6: Final answer
    x = 55,733.71

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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.