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Finding the Fourth Proportional to 33,883.68, 50,883.84 and 18,312.24

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Solution

The fourth proportional to 33,883.68, 50,883.84 and 18,312.24 is: 27,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,883.68 : 50,883.84 = 18,312.24 : x
  2. Step 2: Convert to fraction form
    33,883.68/50,883.84 = 18,312.24/x
  3. Step 3: Cross multiply
    33,883.68x = 50,883.84 × 18,312.24
  4. Step 4: Simplify right side
    33,883.68x = 931,797,090.20
  5. Step 5: Solve for x
    x = 931,797,090.20/33,883.68
  6. Step 6: Final answer
    x = 27,499.88

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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.