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Finding the Fourth Proportional to 41,633.28, 57,454.38 and 22,770

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Solution

The fourth proportional to 41,633.28, 57,454.38 and 22,770 is: 31,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,633.28 : 57,454.38 = 22,770 : x
  2. Step 2: Convert to fraction form
    41,633.28/57,454.38 = 22,770/x
  3. Step 3: Cross multiply
    41,633.28x = 57,454.38 × 22,770
  4. Step 4: Simplify right side
    41,633.28x = 1,308,236,232.60
  5. Step 5: Solve for x
    x = 1,308,236,232.60/41,633.28
  6. Step 6: Final answer
    x = 31,422.85

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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.