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Finding the Fourth Proportional to 51,754.31, 71,412.94 and 29,089.09

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Solution

The fourth proportional to 51,754.31, 71,412.94 and 29,089.09 is: 40,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,754.31 : 71,412.94 = 29,089.09 : x
  2. Step 2: Convert to fraction form
    51,754.31/71,412.94 = 29,089.09/x
  3. Step 3: Cross multiply
    51,754.31x = 71,412.94 × 29,089.09
  4. Step 4: Simplify right side
    51,754.31x = 2,077,337,293.38
  5. Step 5: Solve for x
    x = 2,077,337,293.38/51,754.31
  6. Step 6: Final answer
    x = 40,138.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.