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Finding the Fourth Proportional to 57,953.44, 86,930.16 and 30,244.96

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Solution

The fourth proportional to 57,953.44, 86,930.16 and 30,244.96 is: 45,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,953.44 : 86,930.16 = 30,244.96 : x
  2. Step 2: Convert to fraction form
    57,953.44/86,930.16 = 30,244.96/x
  3. Step 3: Cross multiply
    57,953.44x = 86,930.16 × 30,244.96
  4. Step 4: Simplify right side
    57,953.44x = 2,629,199,211.99
  5. Step 5: Solve for x
    x = 2,629,199,211.99/57,953.44
  6. Step 6: Final answer
    x = 45,367.44

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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.