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Finding the Fourth Proportional to 31,524.81, 43,504.52 and 17,378.16

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Solution

The fourth proportional to 31,524.81, 43,504.52 and 17,378.16 is: 23,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.81 : 43,504.52 = 17,378.16 : x
  2. Step 2: Convert to fraction form
    31,524.81/43,504.52 = 17,378.16/x
  3. Step 3: Cross multiply
    31,524.81x = 43,504.52 × 17,378.16
  4. Step 4: Simplify right side
    31,524.81x = 756,028,335.21
  5. Step 5: Solve for x
    x = 756,028,335.21/31,524.81
  6. Step 6: Final answer
    x = 23,982.01

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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.