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Finding the Fourth Proportional to 34,132.80, 51,141.60 and 16,564.80

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Solution

The fourth proportional to 34,132.80, 51,141.60 and 16,564.80 is: 24,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,132.80 : 51,141.60 = 16,564.80 : x
  2. Step 2: Convert to fraction form
    34,132.80/51,141.60 = 16,564.80/x
  3. Step 3: Cross multiply
    34,132.80x = 51,141.60 × 16,564.80
  4. Step 4: Simplify right side
    34,132.80x = 847,150,375.68
  5. Step 5: Solve for x
    x = 847,150,375.68/34,132.80
  6. Step 6: Final answer
    x = 24,819.25

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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.