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Finding the Fourth Proportional to 34,704.80, 52,057.20 and 15,984.80

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Solution

The fourth proportional to 34,704.80, 52,057.20 and 15,984.80 is: 23,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,704.80 : 52,057.20 = 15,984.80 : x
  2. Step 2: Convert to fraction form
    34,704.80/52,057.20 = 15,984.80/x
  3. Step 3: Cross multiply
    34,704.80x = 52,057.20 × 15,984.80
  4. Step 4: Simplify right side
    34,704.80x = 832,123,930.56
  5. Step 5: Solve for x
    x = 832,123,930.56/34,704.80
  6. Step 6: Final answer
    x = 23,977.20

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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.