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Finding the Fourth Proportional to 76,763.70, 115,145.55 and 24,166.35

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Solution

The fourth proportional to 76,763.70, 115,145.55 and 24,166.35 is: 36,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,763.70 : 115,145.55 = 24,166.35 : x
  2. Step 2: Convert to fraction form
    76,763.70/115,145.55 = 24,166.35/x
  3. Step 3: Cross multiply
    76,763.70x = 115,145.55 × 24,166.35
  4. Step 4: Simplify right side
    76,763.70x = 2,782,647,662.24
  5. Step 5: Solve for x
    x = 2,782,647,662.24/76,763.70
  6. Step 6: Final answer
    x = 36,249.53

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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.