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Finding the Fourth Proportional to 30,739.67, 42,421.53 and 17,311.39

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Solution

The fourth proportional to 30,739.67, 42,421.53 and 17,311.39 is: 23,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,739.67 : 42,421.53 = 17,311.39 : x
  2. Step 2: Convert to fraction form
    30,739.67/42,421.53 = 17,311.39/x
  3. Step 3: Cross multiply
    30,739.67x = 42,421.53 × 17,311.39
  4. Step 4: Simplify right side
    30,739.67x = 734,375,609.09
  5. Step 5: Solve for x
    x = 734,375,609.09/30,739.67
  6. Step 6: Final answer
    x = 23,890.16

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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.