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Finding the Fourth Proportional to 53,858, 80,790.24 and 16,922

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Solution

The fourth proportional to 53,858, 80,790.24 and 16,922 is: 25,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858 : 80,790.24 = 16,922 : x
  2. Step 2: Convert to fraction form
    53,858/80,790.24 = 16,922/x
  3. Step 3: Cross multiply
    53,858x = 80,790.24 × 16,922
  4. Step 4: Simplify right side
    53,858x = 1,367,132,441.28
  5. Step 5: Solve for x
    x = 1,367,132,441.28/53,858
  6. Step 6: Final answer
    x = 25,384.02

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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.