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Finding the Fourth Proportional to 61,462.80, 92,194.20 and 37,843.20

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Solution

The fourth proportional to 61,462.80, 92,194.20 and 37,843.20 is: 56,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,462.80 : 92,194.20 = 37,843.20 : x
  2. Step 2: Convert to fraction form
    61,462.80/92,194.20 = 37,843.20/x
  3. Step 3: Cross multiply
    61,462.80x = 92,194.20 × 37,843.20
  4. Step 4: Simplify right side
    61,462.80x = 3,488,923,549.44
  5. Step 5: Solve for x
    x = 3,488,923,549.44/61,462.80
  6. Step 6: Final answer
    x = 56,764.80

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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.