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Finding the Fourth Proportional to 52,291.98, 78,294.42 and 36,512.73

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Solution

The fourth proportional to 52,291.98, 78,294.42 and 36,512.73 is: 54,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,291.98 : 78,294.42 = 36,512.73 : x
  2. Step 2: Convert to fraction form
    52,291.98/78,294.42 = 36,512.73/x
  3. Step 3: Cross multiply
    52,291.98x = 78,294.42 × 36,512.73
  4. Step 4: Simplify right side
    52,291.98x = 2,858,743,017.97
  5. Step 5: Solve for x
    x = 2,858,743,017.97/52,291.98
  6. Step 6: Final answer
    x = 54,668.86

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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.