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Finding the Fourth Proportional to 36,193.52, 49,920.36 and 22,754

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Solution

The fourth proportional to 36,193.52, 49,920.36 and 22,754 is: 31,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,193.52 : 49,920.36 = 22,754 : x
  2. Step 2: Convert to fraction form
    36,193.52/49,920.36 = 22,754/x
  3. Step 3: Cross multiply
    36,193.52x = 49,920.36 × 22,754
  4. Step 4: Simplify right side
    36,193.52x = 1,135,887,871.44
  5. Step 5: Solve for x
    x = 1,135,887,871.44/36,193.52
  6. Step 6: Final answer
    x = 31,383.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.