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Finding the Fourth Proportional to 50,668.80, 76,024.80 and 31,963.20

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Solution

The fourth proportional to 50,668.80, 76,024.80 and 31,963.20 is: 47,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,668.80 : 76,024.80 = 31,963.20 : x
  2. Step 2: Convert to fraction form
    50,668.80/76,024.80 = 31,963.20/x
  3. Step 3: Cross multiply
    50,668.80x = 76,024.80 × 31,963.20
  4. Step 4: Simplify right side
    50,668.80x = 2,429,995,887.36
  5. Step 5: Solve for x
    x = 2,429,995,887.36/50,668.80
  6. Step 6: Final answer
    x = 47,958.43

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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.