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Finding the Fourth Proportional to 31,406.64, 43,343.64 and 17,982.12

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Solution

The fourth proportional to 31,406.64, 43,343.64 and 17,982.12 is: 24,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.64 : 43,343.64 = 17,982.12 : x
  2. Step 2: Convert to fraction form
    31,406.64/43,343.64 = 17,982.12/x
  3. Step 3: Cross multiply
    31,406.64x = 43,343.64 × 17,982.12
  4. Step 4: Simplify right side
    31,406.64x = 779,410,535.72
  5. Step 5: Solve for x
    x = 779,410,535.72/31,406.64
  6. Step 6: Final answer
    x = 24,816.74

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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.