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Finding the Fourth Proportional to 50,726.48, 76,107.76 and 22,644

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Solution

The fourth proportional to 50,726.48, 76,107.76 and 22,644 is: 33,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,726.48 : 76,107.76 = 22,644 : x
  2. Step 2: Convert to fraction form
    50,726.48/76,107.76 = 22,644/x
  3. Step 3: Cross multiply
    50,726.48x = 76,107.76 × 22,644
  4. Step 4: Simplify right side
    50,726.48x = 1,723,384,117.44
  5. Step 5: Solve for x
    x = 1,723,384,117.44/50,726.48
  6. Step 6: Final answer
    x = 33,974.05

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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.