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Finding the Fourth Proportional to 31,410.81, 43,348.23 and 17,980.20

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Solution

The fourth proportional to 31,410.81, 43,348.23 and 17,980.20 is: 24,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,410.81 : 43,348.23 = 17,980.20 : x
  2. Step 2: Convert to fraction form
    31,410.81/43,348.23 = 17,980.20/x
  3. Step 3: Cross multiply
    31,410.81x = 43,348.23 × 17,980.20
  4. Step 4: Simplify right side
    31,410.81x = 779,409,845.05
  5. Step 5: Solve for x
    x = 779,409,845.05/31,410.81
  6. Step 6: Final answer
    x = 24,813.43

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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.