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Finding the Fourth Proportional to 31,185.69, 43,035.75 and 17,038.23

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Solution

The fourth proportional to 31,185.69, 43,035.75 and 17,038.23 is: 23,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185.69 : 43,035.75 = 17,038.23 : x
  2. Step 2: Convert to fraction form
    31,185.69/43,035.75 = 17,038.23/x
  3. Step 3: Cross multiply
    31,185.69x = 43,035.75 × 17,038.23
  4. Step 4: Simplify right side
    31,185.69x = 733,253,006.72
  5. Step 5: Solve for x
    x = 733,253,006.72/31,185.69
  6. Step 6: Final answer
    x = 23,512.48

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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.