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Finding the Fourth Proportional to 53,842, 80,766.24 and 16,906

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Solution

The fourth proportional to 53,842, 80,766.24 and 16,906 is: 25,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842 : 80,766.24 = 16,906 : x
  2. Step 2: Convert to fraction form
    53,842/80,766.24 = 16,906/x
  3. Step 3: Cross multiply
    53,842x = 80,766.24 × 16,906
  4. Step 4: Simplify right side
    53,842x = 1,365,434,053.44
  5. Step 5: Solve for x
    x = 1,365,434,053.44/53,842
  6. Step 6: Final answer
    x = 25,360.02

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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.