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Finding the Fourth Proportional to 51,535.39, 71,132.84 and 30,321.49

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Solution

The fourth proportional to 51,535.39, 71,132.84 and 30,321.49 is: 41,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,535.39 : 71,132.84 = 30,321.49 : x
  2. Step 2: Convert to fraction form
    51,535.39/71,132.84 = 30,321.49/x
  3. Step 3: Cross multiply
    51,535.39x = 71,132.84 × 30,321.49
  4. Step 4: Simplify right side
    51,535.39x = 2,156,853,696.73
  5. Step 5: Solve for x
    x = 2,156,853,696.73/51,535.39
  6. Step 6: Final answer
    x = 41,851.89

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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.