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Finding the Fourth Proportional to 47,773.41, 65,813.34 and 33,406.37

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Solution

The fourth proportional to 47,773.41, 65,813.34 and 33,406.37 is: 46,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,773.41 : 65,813.34 = 33,406.37 : x
  2. Step 2: Convert to fraction form
    47,773.41/65,813.34 = 33,406.37/x
  3. Step 3: Cross multiply
    47,773.41x = 65,813.34 × 33,406.37
  4. Step 4: Simplify right side
    47,773.41x = 2,198,584,786.98
  5. Step 5: Solve for x
    x = 2,198,584,786.98/47,773.41
  6. Step 6: Final answer
    x = 46,021.10

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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.