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Finding the Fourth Proportional to 50,974.80, 76,462.20 and 40,477.20

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Solution

The fourth proportional to 50,974.80, 76,462.20 and 40,477.20 is: 60,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974.80 : 76,462.20 = 40,477.20 : x
  2. Step 2: Convert to fraction form
    50,974.80/76,462.20 = 40,477.20/x
  3. Step 3: Cross multiply
    50,974.80x = 76,462.20 × 40,477.20
  4. Step 4: Simplify right side
    50,974.80x = 3,094,975,761.84
  5. Step 5: Solve for x
    x = 3,094,975,761.84/50,974.80
  6. Step 6: Final answer
    x = 60,715.80

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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.