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Finding the Fourth Proportional to 82,571.81, 113,949.18 and 44,846.06

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Solution

The fourth proportional to 82,571.81, 113,949.18 and 44,846.06 is: 61,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,571.81 : 113,949.18 = 44,846.06 : x
  2. Step 2: Convert to fraction form
    82,571.81/113,949.18 = 44,846.06/x
  3. Step 3: Cross multiply
    82,571.81x = 113,949.18 × 44,846.06
  4. Step 4: Simplify right side
    82,571.81x = 5,110,171,193.48
  5. Step 5: Solve for x
    x = 5,110,171,193.48/82,571.81
  6. Step 6: Final answer
    x = 61,887.60

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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.