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Finding the Fourth Proportional to 53,891.79, 80,846.69 and 24,308.97

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Solution

The fourth proportional to 53,891.79, 80,846.69 and 24,308.97 is: 36,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,891.79 : 80,846.69 = 24,308.97 : x
  2. Step 2: Convert to fraction form
    53,891.79/80,846.69 = 24,308.97/x
  3. Step 3: Cross multiply
    53,891.79x = 80,846.69 × 24,308.97
  4. Step 4: Simplify right side
    53,891.79x = 1,965,299,640.26
  5. Step 5: Solve for x
    x = 1,965,299,640.26/53,891.79
  6. Step 6: Final answer
    x = 36,467.51

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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.