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Finding the Fourth Proportional to 82,483.19, 113,826.80 and 44,757.44

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Solution

The fourth proportional to 82,483.19, 113,826.80 and 44,757.44 is: 61,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,483.19 : 113,826.80 = 44,757.44 : x
  2. Step 2: Convert to fraction form
    82,483.19/113,826.80 = 44,757.44/x
  3. Step 3: Cross multiply
    82,483.19x = 113,826.80 × 44,757.44
  4. Step 4: Simplify right side
    82,483.19x = 5,094,596,171.39
  5. Step 5: Solve for x
    x = 5,094,596,171.39/82,483.19
  6. Step 6: Final answer
    x = 61,765.27

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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.