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Finding the Fourth Proportional to 71,791.32, 107,687.04 and 34,342.56

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Solution

The fourth proportional to 71,791.32, 107,687.04 and 34,342.56 is: 51,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,791.32 : 107,687.04 = 34,342.56 : x
  2. Step 2: Convert to fraction form
    71,791.32/107,687.04 = 34,342.56/x
  3. Step 3: Cross multiply
    71,791.32x = 107,687.04 × 34,342.56
  4. Step 4: Simplify right side
    71,791.32x = 3,698,248,632.42
  5. Step 5: Solve for x
    x = 3,698,248,632.42/71,791.32
  6. Step 6: Final answer
    x = 51,513.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.