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Finding the Fourth Proportional to 31,562.56, 43,556.40 and 17,415.38

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Solution

The fourth proportional to 31,562.56, 43,556.40 and 17,415.38 is: 24,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,562.56 : 43,556.40 = 17,415.38 : x
  2. Step 2: Convert to fraction form
    31,562.56/43,556.40 = 17,415.38/x
  3. Step 3: Cross multiply
    31,562.56x = 43,556.40 × 17,415.38
  4. Step 4: Simplify right side
    31,562.56x = 758,551,257.43
  5. Step 5: Solve for x
    x = 758,551,257.43/31,562.56
  6. Step 6: Final answer
    x = 24,033.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.