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Finding the Fourth Proportional to 31,167.20, 43,014.80 and 17,735.84

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Solution

The fourth proportional to 31,167.20, 43,014.80 and 17,735.84 is: 24,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,167.20 : 43,014.80 = 17,735.84 : x
  2. Step 2: Convert to fraction form
    31,167.20/43,014.80 = 17,735.84/x
  3. Step 3: Cross multiply
    31,167.20x = 43,014.80 × 17,735.84
  4. Step 4: Simplify right side
    31,167.20x = 762,903,610.43
  5. Step 5: Solve for x
    x = 762,903,610.43/31,167.20
  6. Step 6: Final answer
    x = 24,477.77

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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.