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Finding the Fourth Proportional to 182,996.77, 274,464.01 and 49,845.88

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Solution

The fourth proportional to 182,996.77, 274,464.01 and 49,845.88 is: 74,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,996.77 : 274,464.01 = 49,845.88 : x
  2. Step 2: Convert to fraction form
    182,996.77/274,464.01 = 49,845.88/x
  3. Step 3: Cross multiply
    182,996.77x = 274,464.01 × 49,845.88
  4. Step 4: Simplify right side
    182,996.77x = 13,680,900,512.17
  5. Step 5: Solve for x
    x = 13,680,900,512.17/182,996.77
  6. Step 6: Final answer
    x = 74,760.34

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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.