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Finding the Fourth Proportional to 54,765.72, 82,157.01 and 23,175.94

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Solution

The fourth proportional to 54,765.72, 82,157.01 and 23,175.94 is: 34,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,765.72 : 82,157.01 = 23,175.94 : x
  2. Step 2: Convert to fraction form
    54,765.72/82,157.01 = 23,175.94/x
  3. Step 3: Cross multiply
    54,765.72x = 82,157.01 × 23,175.94
  4. Step 4: Simplify right side
    54,765.72x = 1,904,065,934.34
  5. Step 5: Solve for x
    x = 1,904,065,934.34/54,765.72
  6. Step 6: Final answer
    x = 34,767.48

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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.