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Finding the Fourth Proportional to 47,793.80, 71,625.90 and 31,953.80

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Solution

The fourth proportional to 47,793.80, 71,625.90 and 31,953.80 is: 47,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,793.80 : 71,625.90 = 31,953.80 : x
  2. Step 2: Convert to fraction form
    47,793.80/71,625.90 = 31,953.80/x
  3. Step 3: Cross multiply
    47,793.80x = 71,625.90 × 31,953.80
  4. Step 4: Simplify right side
    47,793.80x = 2,288,719,683.42
  5. Step 5: Solve for x
    x = 2,288,719,683.42/47,793.80
  6. Step 6: Final answer
    x = 47,887.38

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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.