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Finding the Fourth Proportional to 31,852.67, 43,950.24 and 18,419.00

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Solution

The fourth proportional to 31,852.67, 43,950.24 and 18,419.00 is: 25,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.67 : 43,950.24 = 18,419.00 : x
  2. Step 2: Convert to fraction form
    31,852.67/43,950.24 = 18,419.00/x
  3. Step 3: Cross multiply
    31,852.67x = 43,950.24 × 18,419.00
  4. Step 4: Simplify right side
    31,852.67x = 809,519,250.81
  5. Step 5: Solve for x
    x = 809,519,250.81/31,852.67
  6. Step 6: Final answer
    x = 25,414.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.