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Finding the Fourth Proportional to 51,446, 71,004.58 and 30,225.26

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Solution

The fourth proportional to 51,446, 71,004.58 and 30,225.26 is: 41,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,446 : 71,004.58 = 30,225.26 : x
  2. Step 2: Convert to fraction form
    51,446/71,004.58 = 30,225.26/x
  3. Step 3: Cross multiply
    51,446x = 71,004.58 × 30,225.26
  4. Step 4: Simplify right side
    51,446x = 2,146,131,891.69
  5. Step 5: Solve for x
    x = 2,146,131,891.69/51,446
  6. Step 6: Final answer
    x = 41,716.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.