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Finding the Fourth Proportional to 31,709.67, 43,759.31 and 17,562.50

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Solution

The fourth proportional to 31,709.67, 43,759.31 and 17,562.50 is: 24,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.67 : 43,759.31 = 17,562.50 : x
  2. Step 2: Convert to fraction form
    31,709.67/43,759.31 = 17,562.50/x
  3. Step 3: Cross multiply
    31,709.67x = 43,759.31 × 17,562.50
  4. Step 4: Simplify right side
    31,709.67x = 768,522,881.88
  5. Step 5: Solve for x
    x = 768,522,881.88/31,709.67
  6. Step 6: Final answer
    x = 24,236.23

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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.