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Finding the Fourth Proportional to 43,711.20, 65,404.80 and 32,047.20

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Solution

The fourth proportional to 43,711.20, 65,404.80 and 32,047.20 is: 47,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,711.20 : 65,404.80 = 32,047.20 : x
  2. Step 2: Convert to fraction form
    43,711.20/65,404.80 = 32,047.20/x
  3. Step 3: Cross multiply
    43,711.20x = 65,404.80 × 32,047.20
  4. Step 4: Simplify right side
    43,711.20x = 2,096,040,706.56
  5. Step 5: Solve for x
    x = 2,096,040,706.56/43,711.20
  6. Step 6: Final answer
    x = 47,952.03

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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.