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Finding the Fourth Proportional to 31,810.40, 43,904.16 and 18,379.84

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Solution

The fourth proportional to 31,810.40, 43,904.16 and 18,379.84 is: 25,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,810.40 : 43,904.16 = 18,379.84 : x
  2. Step 2: Convert to fraction form
    31,810.40/43,904.16 = 18,379.84/x
  3. Step 3: Cross multiply
    31,810.40x = 43,904.16 × 18,379.84
  4. Step 4: Simplify right side
    31,810.40x = 806,951,436.13
  5. Step 5: Solve for x
    x = 806,951,436.13/31,810.40
  6. Step 6: Final answer
    x = 25,367.54

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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.