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Finding the Fourth Proportional to 41,625, 57,470.22 and 24,634.67

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Solution

The fourth proportional to 41,625, 57,470.22 and 24,634.67 is: 34,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,625 : 57,470.22 = 24,634.67 : x
  2. Step 2: Convert to fraction form
    41,625/57,470.22 = 24,634.67/x
  3. Step 3: Cross multiply
    41,625x = 57,470.22 × 24,634.67
  4. Step 4: Simplify right side
    41,625x = 1,415,759,617.18
  5. Step 5: Solve for x
    x = 1,415,759,617.18/41,625
  6. Step 6: Final answer
    x = 34,012.24

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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.