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Finding the Fourth Proportional to 53,820.88, 80,751.82 and 24,231.91

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Solution

The fourth proportional to 53,820.88, 80,751.82 and 24,231.91 is: 36,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,820.88 : 80,751.82 = 24,231.91 : x
  2. Step 2: Convert to fraction form
    53,820.88/80,751.82 = 24,231.91/x
  3. Step 3: Cross multiply
    53,820.88x = 80,751.82 × 24,231.91
  4. Step 4: Simplify right side
    53,820.88x = 1,956,770,834.58
  5. Step 5: Solve for x
    x = 1,956,770,834.58/53,820.88
  6. Step 6: Final answer
    x = 36,357.09

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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.