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Finding the Fourth Proportional to 51,791.42, 71,470.59 and 29,131.67

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Solution

The fourth proportional to 51,791.42, 71,470.59 and 29,131.67 is: 40,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,791.42 : 71,470.59 = 29,131.67 : x
  2. Step 2: Convert to fraction form
    51,791.42/71,470.59 = 29,131.67/x
  3. Step 3: Cross multiply
    51,791.42x = 71,470.59 × 29,131.67
  4. Step 4: Simplify right side
    51,791.42x = 2,082,057,285.23
  5. Step 5: Solve for x
    x = 2,082,057,285.23/51,791.42
  6. Step 6: Final answer
    x = 40,200.82

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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.