Home / 75,850.31-113,826.24-31,477.10

Finding the Fourth Proportional to 75,850.31, 113,826.24 and 31,477.10

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Solution

The fourth proportional to 75,850.31, 113,826.24 and 31,477.10 is: 47,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,850.31 : 113,826.24 = 31,477.10 : x
  2. Step 2: Convert to fraction form
    75,850.31/113,826.24 = 31,477.10/x
  3. Step 3: Cross multiply
    75,850.31x = 113,826.24 × 31,477.10
  4. Step 4: Simplify right side
    75,850.31x = 3,582,919,369.97
  5. Step 5: Solve for x
    x = 3,582,919,369.97/75,850.31
  6. Step 6: Final answer
    x = 47,236.71

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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.