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Finding the Fourth Proportional to 31,609.89, 43,624.31 and 17,465.27

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Solution

The fourth proportional to 31,609.89, 43,624.31 and 17,465.27 is: 24,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.89 : 43,624.31 = 17,465.27 : x
  2. Step 2: Convert to fraction form
    31,609.89/43,624.31 = 17,465.27/x
  3. Step 3: Cross multiply
    31,609.89x = 43,624.31 × 17,465.27
  4. Step 4: Simplify right side
    31,609.89x = 761,910,047.27
  5. Step 5: Solve for x
    x = 761,910,047.27/31,609.89
  6. Step 6: Final answer
    x = 24,103.53

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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.