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Finding the Fourth Proportional to 31,308.67, 43,205.71 and 17,161.48

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Solution

The fourth proportional to 31,308.67, 43,205.71 and 17,161.48 is: 23,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308.67 : 43,205.71 = 17,161.48 : x
  2. Step 2: Convert to fraction form
    31,308.67/43,205.71 = 17,161.48/x
  3. Step 3: Cross multiply
    31,308.67x = 43,205.71 × 17,161.48
  4. Step 4: Simplify right side
    31,308.67x = 741,473,928.05
  5. Step 5: Solve for x
    x = 741,473,928.05/31,308.67
  6. Step 6: Final answer
    x = 23,682.70

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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.