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Finding the Fourth Proportional to 76,976.80, 115,465.20 and 50,711.20

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Solution

The fourth proportional to 76,976.80, 115,465.20 and 50,711.20 is: 76,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,976.80 : 115,465.20 = 50,711.20 : x
  2. Step 2: Convert to fraction form
    76,976.80/115,465.20 = 50,711.20/x
  3. Step 3: Cross multiply
    76,976.80x = 115,465.20 × 50,711.20
  4. Step 4: Simplify right side
    76,976.80x = 5,855,378,850.24
  5. Step 5: Solve for x
    x = 5,855,378,850.24/76,976.80
  6. Step 6: Final answer
    x = 76,066.80

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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.