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Finding the Fourth Proportional to 182,016, 273,024 and 50,688

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Solution

The fourth proportional to 182,016, 273,024 and 50,688 is: 76,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,016 : 273,024 = 50,688 : x
  2. Step 2: Convert to fraction form
    182,016/273,024 = 50,688/x
  3. Step 3: Cross multiply
    182,016x = 273,024 × 50,688
  4. Step 4: Simplify right side
    182,016x = 13,839,040,512
  5. Step 5: Solve for x
    x = 13,839,040,512/182,016
  6. Step 6: Final answer
    x = 76,032

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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.