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Finding the Fourth Proportional to 56,491.81, 84,562.74 and 33,163.81

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Solution

The fourth proportional to 56,491.81, 84,562.74 and 33,163.81 is: 49,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,491.81 : 84,562.74 = 33,163.81 : x
  2. Step 2: Convert to fraction form
    56,491.81/84,562.74 = 33,163.81/x
  3. Step 3: Cross multiply
    56,491.81x = 84,562.74 × 33,163.81
  4. Step 4: Simplify right side
    56,491.81x = 2,804,422,431.03
  5. Step 5: Solve for x
    x = 2,804,422,431.03/56,491.81
  6. Step 6: Final answer
    x = 49,642.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.