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Finding the Fourth Proportional to 53,459.64, 80,212.68 and 33,514.80

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Solution

The fourth proportional to 53,459.64, 80,212.68 and 33,514.80 is: 50,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,459.64 : 80,212.68 = 33,514.80 : x
  2. Step 2: Convert to fraction form
    53,459.64/80,212.68 = 33,514.80/x
  3. Step 3: Cross multiply
    53,459.64x = 80,212.68 × 33,514.80
  4. Step 4: Simplify right side
    53,459.64x = 2,688,311,927.66
  5. Step 5: Solve for x
    x = 2,688,311,927.66/53,459.64
  6. Step 6: Final answer
    x = 50,286.76

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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.