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Finding the Fourth Proportional to 82,571.86, 113,949.75 and 44,846.11

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Solution

The fourth proportional to 82,571.86, 113,949.75 and 44,846.11 is: 61,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,571.86 : 113,949.75 = 44,846.11 : x
  2. Step 2: Convert to fraction form
    82,571.86/113,949.75 = 44,846.11/x
  3. Step 3: Cross multiply
    82,571.86x = 113,949.75 × 44,846.11
  4. Step 4: Simplify right side
    82,571.86x = 5,110,203,022.97
  5. Step 5: Solve for x
    x = 5,110,203,022.97/82,571.86
  6. Step 6: Final answer
    x = 61,887.95

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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.