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Finding the Fourth Proportional to 31,709.34, 43,759.80 and 17,562.15

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Solution

The fourth proportional to 31,709.34, 43,759.80 and 17,562.15 is: 24,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.34 : 43,759.80 = 17,562.15 : x
  2. Step 2: Convert to fraction form
    31,709.34/43,759.80 = 17,562.15/x
  3. Step 3: Cross multiply
    31,709.34x = 43,759.80 × 17,562.15
  4. Step 4: Simplify right side
    31,709.34x = 768,516,171.57
  5. Step 5: Solve for x
    x = 768,516,171.57/31,709.34
  6. Step 6: Final answer
    x = 24,236.27

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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.