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Finding the Fourth Proportional to 82,855.44, 114,336.72 and 47,040.48

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Solution

The fourth proportional to 82,855.44, 114,336.72 and 47,040.48 is: 64,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,855.44 : 114,336.72 = 47,040.48 : x
  2. Step 2: Convert to fraction form
    82,855.44/114,336.72 = 47,040.48/x
  3. Step 3: Cross multiply
    82,855.44x = 114,336.72 × 47,040.48
  4. Step 4: Simplify right side
    82,855.44x = 5,378,454,190.43
  5. Step 5: Solve for x
    x = 5,378,454,190.43/82,855.44
  6. Step 6: Final answer
    x = 64,913.71

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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.