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Finding the Fourth Proportional to 52,469.80, 78,704.70 and 50,428.60

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Solution

The fourth proportional to 52,469.80, 78,704.70 and 50,428.60 is: 75,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,469.80 : 78,704.70 = 50,428.60 : x
  2. Step 2: Convert to fraction form
    52,469.80/78,704.70 = 50,428.60/x
  3. Step 3: Cross multiply
    52,469.80x = 78,704.70 × 50,428.60
  4. Step 4: Simplify right side
    52,469.80x = 3,968,967,834.42
  5. Step 5: Solve for x
    x = 3,968,967,834.42/52,469.80
  6. Step 6: Final answer
    x = 75,642.90

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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.