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Finding the Fourth Proportional to 75,378.80, 113,092.77 and 37,919.54

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Solution

The fourth proportional to 75,378.80, 113,092.77 and 37,919.54 is: 56,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,378.80 : 113,092.77 = 37,919.54 : x
  2. Step 2: Convert to fraction form
    75,378.80/113,092.77 = 37,919.54/x
  3. Step 3: Cross multiply
    75,378.80x = 113,092.77 × 37,919.54
  4. Step 4: Simplify right side
    75,378.80x = 4,288,425,815.73
  5. Step 5: Solve for x
    x = 4,288,425,815.73/75,378.80
  6. Step 6: Final answer
    x = 56,891.67

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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.