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Finding the Fourth Proportional to 61,142.88, 91,722.48 and 24,198.24

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Solution

The fourth proportional to 61,142.88, 91,722.48 and 24,198.24 is: 36,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,142.88 : 91,722.48 = 24,198.24 : x
  2. Step 2: Convert to fraction form
    61,142.88/91,722.48 = 24,198.24/x
  3. Step 3: Cross multiply
    61,142.88x = 91,722.48 × 24,198.24
  4. Step 4: Simplify right side
    61,142.88x = 2,219,522,584.44
  5. Step 5: Solve for x
    x = 2,219,522,584.44/61,142.88
  6. Step 6: Final answer
    x = 36,300.59

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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.