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Finding the Fourth Proportional to 31,776.94, 43,858.56 and 18,350.38

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Solution

The fourth proportional to 31,776.94, 43,858.56 and 18,350.38 is: 25,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.94 : 43,858.56 = 18,350.38 : x
  2. Step 2: Convert to fraction form
    31,776.94/43,858.56 = 18,350.38/x
  3. Step 3: Cross multiply
    31,776.94x = 43,858.56 × 18,350.38
  4. Step 4: Simplify right side
    31,776.94x = 804,821,242.25
  5. Step 5: Solve for x
    x = 804,821,242.25/31,776.94
  6. Step 6: Final answer
    x = 25,327.21

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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.