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Finding the Fourth Proportional to 51,311.92, 70,806.72 and 29,791.84

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Solution

The fourth proportional to 51,311.92, 70,806.72 and 29,791.84 is: 41,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,311.92 : 70,806.72 = 29,791.84 : x
  2. Step 2: Convert to fraction form
    51,311.92/70,806.72 = 29,791.84/x
  3. Step 3: Cross multiply
    51,311.92x = 70,806.72 × 29,791.84
  4. Step 4: Simplify right side
    51,311.92x = 2,109,462,473.16
  5. Step 5: Solve for x
    x = 2,109,462,473.16/51,311.92
  6. Step 6: Final answer
    x = 41,110.57

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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.