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Finding the Fourth Proportional to 57,911.80, 86,819.10 and 30,209.80

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Solution

The fourth proportional to 57,911.80, 86,819.10 and 30,209.80 is: 45,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,911.80 : 86,819.10 = 30,209.80 : x
  2. Step 2: Convert to fraction form
    57,911.80/86,819.10 = 30,209.80/x
  3. Step 3: Cross multiply
    57,911.80x = 86,819.10 × 30,209.80
  4. Step 4: Simplify right side
    57,911.80x = 2,622,787,647.18
  5. Step 5: Solve for x
    x = 2,622,787,647.18/57,911.80
  6. Step 6: Final answer
    x = 45,289.35

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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.