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Finding the Fourth Proportional to 41,673, 57,510 and 22,811.40

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Solution

The fourth proportional to 41,673, 57,510 and 22,811.40 is: 31,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,673 : 57,510 = 22,811.40 : x
  2. Step 2: Convert to fraction form
    41,673/57,510 = 22,811.40/x
  3. Step 3: Cross multiply
    41,673x = 57,510 × 22,811.40
  4. Step 4: Simplify right side
    41,673x = 1,311,883,614
  5. Step 5: Solve for x
    x = 1,311,883,614/41,673
  6. Step 6: Final answer
    x = 31,480.42

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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.