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Finding the Fourth Proportional to 50,768.56, 76,202.05 and 24,491.76

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Solution

The fourth proportional to 50,768.56, 76,202.05 and 24,491.76 is: 36,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,768.56 : 76,202.05 = 24,491.76 : x
  2. Step 2: Convert to fraction form
    50,768.56/76,202.05 = 24,491.76/x
  3. Step 3: Cross multiply
    50,768.56x = 76,202.05 × 24,491.76
  4. Step 4: Simplify right side
    50,768.56x = 1,866,322,320.11
  5. Step 5: Solve for x
    x = 1,866,322,320.11/50,768.56
  6. Step 6: Final answer
    x = 36,761.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.