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Finding the Fourth Proportional to 53,231.76, 79,854.93 and 18,162

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Solution

The fourth proportional to 53,231.76, 79,854.93 and 18,162 is: 27,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,231.76 : 79,854.93 = 18,162 : x
  2. Step 2: Convert to fraction form
    53,231.76/79,854.93 = 18,162/x
  3. Step 3: Cross multiply
    53,231.76x = 79,854.93 × 18,162
  4. Step 4: Simplify right side
    53,231.76x = 1,450,325,238.66
  5. Step 5: Solve for x
    x = 1,450,325,238.66/53,231.76
  6. Step 6: Final answer
    x = 27,245.49

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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.