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Finding the Fourth Proportional to 31,352.70, 43,265 and 17,204.42

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Solution

The fourth proportional to 31,352.70, 43,265 and 17,204.42 is: 23,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,352.70 : 43,265 = 17,204.42 : x
  2. Step 2: Convert to fraction form
    31,352.70/43,265 = 17,204.42/x
  3. Step 3: Cross multiply
    31,352.70x = 43,265 × 17,204.42
  4. Step 4: Simplify right side
    31,352.70x = 744,349,231.30
  5. Step 5: Solve for x
    x = 744,349,231.30/31,352.70
  6. Step 6: Final answer
    x = 23,741.15

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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.