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Finding the Fourth Proportional to 71,540.94, 107,330.49 and 24,793.77

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Solution

The fourth proportional to 71,540.94, 107,330.49 and 24,793.77 is: 37,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,540.94 : 107,330.49 = 24,793.77 : x
  2. Step 2: Convert to fraction form
    71,540.94/107,330.49 = 24,793.77/x
  3. Step 3: Cross multiply
    71,540.94x = 107,330.49 × 24,793.77
  4. Step 4: Simplify right side
    71,540.94x = 2,661,127,483.05
  5. Step 5: Solve for x
    x = 2,661,127,483.05/71,540.94
  6. Step 6: Final answer
    x = 37,197.27

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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.