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Finding the Fourth Proportional to 54,758.42, 82,148.70 and 23,168.42

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Solution

The fourth proportional to 54,758.42, 82,148.70 and 23,168.42 is: 34,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,758.42 : 82,148.70 = 23,168.42 : x
  2. Step 2: Convert to fraction form
    54,758.42/82,148.70 = 23,168.42/x
  3. Step 3: Cross multiply
    54,758.42x = 82,148.70 × 23,168.42
  4. Step 4: Simplify right side
    54,758.42x = 1,903,255,173.31
  5. Step 5: Solve for x
    x = 1,903,255,173.31/54,758.42
  6. Step 6: Final answer
    x = 34,757.31

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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.