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Finding the Fourth Proportional to 51,888, 71,616.64 and 33,021.12

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Solution

The fourth proportional to 51,888, 71,616.64 and 33,021.12 is: 45,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,888 : 71,616.64 = 33,021.12 : x
  2. Step 2: Convert to fraction form
    51,888/71,616.64 = 33,021.12/x
  3. Step 3: Cross multiply
    51,888x = 71,616.64 × 33,021.12
  4. Step 4: Simplify right side
    51,888x = 2,364,861,663.44
  5. Step 5: Solve for x
    x = 2,364,861,663.44/51,888
  6. Step 6: Final answer
    x = 45,576.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.