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Finding the Fourth Proportional to 114,389.28, 171,584.04 and 47,793.12

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Solution

The fourth proportional to 114,389.28, 171,584.04 and 47,793.12 is: 71,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,389.28 : 171,584.04 = 47,793.12 : x
  2. Step 2: Convert to fraction form
    114,389.28/171,584.04 = 47,793.12/x
  3. Step 3: Cross multiply
    114,389.28x = 171,584.04 × 47,793.12
  4. Step 4: Simplify right side
    114,389.28x = 8,200,536,613.80
  5. Step 5: Solve for x
    x = 8,200,536,613.80/114,389.28
  6. Step 6: Final answer
    x = 71,689.73

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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.