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Finding the Fourth Proportional to 30,491.72, 42,072.16 and 17,911.88

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Solution

The fourth proportional to 30,491.72, 42,072.16 and 17,911.88 is: 24,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.72 : 42,072.16 = 17,911.88 : x
  2. Step 2: Convert to fraction form
    30,491.72/42,072.16 = 17,911.88/x
  3. Step 3: Cross multiply
    30,491.72x = 42,072.16 × 17,911.88
  4. Step 4: Simplify right side
    30,491.72x = 753,591,481.26
  5. Step 5: Solve for x
    x = 753,591,481.26/30,491.72
  6. Step 6: Final answer
    x = 24,714.63

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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.