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Finding the Fourth Proportional to 53,022, 79,533 and 16,086

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Solution

The fourth proportional to 53,022, 79,533 and 16,086 is: 24,129

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,022 : 79,533 = 16,086 : x
  2. Step 2: Convert to fraction form
    53,022/79,533 = 16,086/x
  3. Step 3: Cross multiply
    53,022x = 79,533 × 16,086
  4. Step 4: Simplify right side
    53,022x = 1,279,367,838
  5. Step 5: Solve for x
    x = 1,279,367,838/53,022
  6. Step 6: Final answer
    x = 24,129

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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.