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Finding the Fourth Proportional to 71,635.91, 107,415.25 and 54,954.77

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Solution

The fourth proportional to 71,635.91, 107,415.25 and 54,954.77 is: 82,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,635.91 : 107,415.25 = 54,954.77 : x
  2. Step 2: Convert to fraction form
    71,635.91/107,415.25 = 54,954.77/x
  3. Step 3: Cross multiply
    71,635.91x = 107,415.25 × 54,954.77
  4. Step 4: Simplify right side
    71,635.91x = 5,902,979,683.78
  5. Step 5: Solve for x
    x = 5,902,979,683.78/71,635.91
  6. Step 6: Final answer
    x = 82,402.53

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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.