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Finding the Fourth Proportional to 53,677.44, 80,496 and 18,608.64

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Solution

The fourth proportional to 53,677.44, 80,496 and 18,608.64 is: 27,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,677.44 : 80,496 = 18,608.64 : x
  2. Step 2: Convert to fraction form
    53,677.44/80,496 = 18,608.64/x
  3. Step 3: Cross multiply
    53,677.44x = 80,496 × 18,608.64
  4. Step 4: Simplify right side
    53,677.44x = 1,497,921,085.44
  5. Step 5: Solve for x
    x = 1,497,921,085.44/53,677.44
  6. Step 6: Final answer
    x = 27,905.97

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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.