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Finding the Fourth Proportional to 51,951.20, 71,693 and 28,077.82

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Solution

The fourth proportional to 51,951.20, 71,693 and 28,077.82 is: 38,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951.20 : 71,693 = 28,077.82 : x
  2. Step 2: Convert to fraction form
    51,951.20/71,693 = 28,077.82/x
  3. Step 3: Cross multiply
    51,951.20x = 71,693 × 28,077.82
  4. Step 4: Simplify right side
    51,951.20x = 2,012,983,149.26
  5. Step 5: Solve for x
    x = 2,012,983,149.26/51,951.20
  6. Step 6: Final answer
    x = 38,747.58

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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.