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Finding the Fourth Proportional to 41,382.88, 57,108.58 and 22,520

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Solution

The fourth proportional to 41,382.88, 57,108.58 and 22,520 is: 31,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,382.88 : 57,108.58 = 22,520 : x
  2. Step 2: Convert to fraction form
    41,382.88/57,108.58 = 22,520/x
  3. Step 3: Cross multiply
    41,382.88x = 57,108.58 × 22,520
  4. Step 4: Simplify right side
    41,382.88x = 1,286,085,221.60
  5. Step 5: Solve for x
    x = 1,286,085,221.60/41,382.88
  6. Step 6: Final answer
    x = 31,077.71

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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.