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Finding the Fourth Proportional to 31,709.71, 43,759.70 and 17,562.84

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Solution

The fourth proportional to 31,709.71, 43,759.70 and 17,562.84 is: 24,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.71 : 43,759.70 = 17,562.84 : x
  2. Step 2: Convert to fraction form
    31,709.71/43,759.70 = 17,562.84/x
  3. Step 3: Cross multiply
    31,709.71x = 43,759.70 × 17,562.84
  4. Step 4: Simplify right side
    31,709.71x = 768,544,609.55
  5. Step 5: Solve for x
    x = 768,544,609.55/31,709.71
  6. Step 6: Final answer
    x = 24,236.89

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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.