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Finding the Fourth Proportional to 31,556.44, 43,548.03 and 17,409.28

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Solution

The fourth proportional to 31,556.44, 43,548.03 and 17,409.28 is: 24,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,556.44 : 43,548.03 = 17,409.28 : x
  2. Step 2: Convert to fraction form
    31,556.44/43,548.03 = 17,409.28/x
  3. Step 3: Cross multiply
    31,556.44x = 43,548.03 × 17,409.28
  4. Step 4: Simplify right side
    31,556.44x = 758,139,847.72
  5. Step 5: Solve for x
    x = 758,139,847.72/31,556.44
  6. Step 6: Final answer
    x = 24,024.89

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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.