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Finding the Fourth Proportional to 54,577.34, 81,714.17 and 27,865.64

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Solution

The fourth proportional to 54,577.34, 81,714.17 and 27,865.64 is: 41,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,577.34 : 81,714.17 = 27,865.64 : x
  2. Step 2: Convert to fraction form
    54,577.34/81,714.17 = 27,865.64/x
  3. Step 3: Cross multiply
    54,577.34x = 81,714.17 × 27,865.64
  4. Step 4: Simplify right side
    54,577.34x = 2,277,017,096.22
  5. Step 5: Solve for x
    x = 2,277,017,096.22/54,577.34
  6. Step 6: Final answer
    x = 41,720.93

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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.