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Finding the Fourth Proportional to 31,438.63, 43,385.97 and 17,099.20

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Solution

The fourth proportional to 31,438.63, 43,385.97 and 17,099.20 is: 23,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.63 : 43,385.97 = 17,099.20 : x
  2. Step 2: Convert to fraction form
    31,438.63/43,385.97 = 17,099.20/x
  3. Step 3: Cross multiply
    31,438.63x = 43,385.97 × 17,099.20
  4. Step 4: Simplify right side
    31,438.63x = 741,865,378.22
  5. Step 5: Solve for x
    x = 741,865,378.22/31,438.63
  6. Step 6: Final answer
    x = 23,597.26

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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.