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Finding the Fourth Proportional to 75,418.48, 113,040.24 and 33,778

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Solution

The fourth proportional to 75,418.48, 113,040.24 and 33,778 is: 50,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,418.48 : 113,040.24 = 33,778 : x
  2. Step 2: Convert to fraction form
    75,418.48/113,040.24 = 33,778/x
  3. Step 3: Cross multiply
    75,418.48x = 113,040.24 × 33,778
  4. Step 4: Simplify right side
    75,418.48x = 3,818,273,226.72
  5. Step 5: Solve for x
    x = 3,818,273,226.72/75,418.48
  6. Step 6: Final answer
    x = 50,627.82

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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.