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Finding the Fourth Proportional to 53,794.26, 80,691.26 and 16,354.17

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Solution

The fourth proportional to 53,794.26, 80,691.26 and 16,354.17 is: 24,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,794.26 : 80,691.26 = 16,354.17 : x
  2. Step 2: Convert to fraction form
    53,794.26/80,691.26 = 16,354.17/x
  3. Step 3: Cross multiply
    53,794.26x = 80,691.26 × 16,354.17
  4. Step 4: Simplify right side
    53,794.26x = 1,319,638,501.78
  5. Step 5: Solve for x
    x = 1,319,638,501.78/53,794.26
  6. Step 6: Final answer
    x = 24,531.21

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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.