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Finding the Fourth Proportional to 82,481.77, 113,824.83 and 44,756.02

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Solution

The fourth proportional to 82,481.77, 113,824.83 and 44,756.02 is: 61,763.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481.77 : 113,824.83 = 44,756.02 : x
  2. Step 2: Convert to fraction form
    82,481.77/113,824.83 = 44,756.02/x
  3. Step 3: Cross multiply
    82,481.77x = 113,824.83 × 44,756.02
  4. Step 4: Simplify right side
    82,481.77x = 5,094,346,367.98
  5. Step 5: Solve for x
    x = 5,094,346,367.98/82,481.77
  6. Step 6: Final answer
    x = 61,763.30

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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.