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Finding the Fourth Proportional to 82,245.08, 113,689.50 and 73,380.44

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Solution

The fourth proportional to 82,245.08, 113,689.50 and 73,380.44 is: 101,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,245.08 : 113,689.50 = 73,380.44 : x
  2. Step 2: Convert to fraction form
    82,245.08/113,689.50 = 73,380.44/x
  3. Step 3: Cross multiply
    82,245.08x = 113,689.50 × 73,380.44
  4. Step 4: Simplify right side
    82,245.08x = 8,342,585,533.38
  5. Step 5: Solve for x
    x = 8,342,585,533.38/82,245.08
  6. Step 6: Final answer
    x = 101,435.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.