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Finding the Fourth Proportional to 53,866, 80,802.24 and 16,930

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Solution

The fourth proportional to 53,866, 80,802.24 and 16,930 is: 25,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,866 : 80,802.24 = 16,930 : x
  2. Step 2: Convert to fraction form
    53,866/80,802.24 = 16,930/x
  3. Step 3: Cross multiply
    53,866x = 80,802.24 × 16,930
  4. Step 4: Simplify right side
    53,866x = 1,367,981,923.20
  5. Step 5: Solve for x
    x = 1,367,981,923.20/53,866
  6. Step 6: Final answer
    x = 25,396.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.