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Finding the Fourth Proportional to 57,049.27, 78,728.15 and 31,898.77

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Solution

The fourth proportional to 57,049.27, 78,728.15 and 31,898.77 is: 44,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,049.27 : 78,728.15 = 31,898.77 : x
  2. Step 2: Convert to fraction form
    57,049.27/78,728.15 = 31,898.77/x
  3. Step 3: Cross multiply
    57,049.27x = 78,728.15 × 31,898.77
  4. Step 4: Simplify right side
    57,049.27x = 2,511,330,989.88
  5. Step 5: Solve for x
    x = 2,511,330,989.88/57,049.27
  6. Step 6: Final answer
    x = 44,020.39

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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.