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Finding the Fourth Proportional to 31,720.69, 43,775.94 and 17,573.50

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Solution

The fourth proportional to 31,720.69, 43,775.94 and 17,573.50 is: 24,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720.69 : 43,775.94 = 17,573.50 : x
  2. Step 2: Convert to fraction form
    31,720.69/43,775.94 = 17,573.50/x
  3. Step 3: Cross multiply
    31,720.69x = 43,775.94 × 17,573.50
  4. Step 4: Simplify right side
    31,720.69x = 769,296,481.59
  5. Step 5: Solve for x
    x = 769,296,481.59/31,720.69
  6. Step 6: Final answer
    x = 24,252.20

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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.