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Finding the Fourth Proportional to 41,728, 57,584.70 and 24,961

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Solution

The fourth proportional to 41,728, 57,584.70 and 24,961 is: 34,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,728 : 57,584.70 = 24,961 : x
  2. Step 2: Convert to fraction form
    41,728/57,584.70 = 24,961/x
  3. Step 3: Cross multiply
    41,728x = 57,584.70 × 24,961
  4. Step 4: Simplify right side
    41,728x = 1,437,371,696.70
  5. Step 5: Solve for x
    x = 1,437,371,696.70/41,728
  6. Step 6: Final answer
    x = 34,446.22

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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.