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Finding the Fourth Proportional to 51,494.44, 71,062.50 and 28,834.42

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Solution

The fourth proportional to 51,494.44, 71,062.50 and 28,834.42 is: 39,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,494.44 : 71,062.50 = 28,834.42 : x
  2. Step 2: Convert to fraction form
    51,494.44/71,062.50 = 28,834.42/x
  3. Step 3: Cross multiply
    51,494.44x = 71,062.50 × 28,834.42
  4. Step 4: Simplify right side
    51,494.44x = 2,049,045,971.25
  5. Step 5: Solve for x
    x = 2,049,045,971.25/51,494.44
  6. Step 6: Final answer
    x = 39,791.60

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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.