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Finding the Fourth Proportional to 48,714.97, 73,072.23 and 13,654.63

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Solution

The fourth proportional to 48,714.97, 73,072.23 and 13,654.63 is: 20,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,714.97 : 73,072.23 = 13,654.63 : x
  2. Step 2: Convert to fraction form
    48,714.97/73,072.23 = 13,654.63/x
  3. Step 3: Cross multiply
    48,714.97x = 73,072.23 × 13,654.63
  4. Step 4: Simplify right side
    48,714.97x = 997,773,893.03
  5. Step 5: Solve for x
    x = 997,773,893.03/48,714.97
  6. Step 6: Final answer
    x = 20,481.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.