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Finding the Fourth Proportional to 182,842.44, 274,283.10 and 49,724.88

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Solution

The fourth proportional to 182,842.44, 274,283.10 and 49,724.88 is: 74,592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,842.44 : 274,283.10 = 49,724.88 : x
  2. Step 2: Convert to fraction form
    182,842.44/274,283.10 = 49,724.88/x
  3. Step 3: Cross multiply
    182,842.44x = 274,283.10 × 49,724.88
  4. Step 4: Simplify right side
    182,842.44x = 13,638,694,233.53
  5. Step 5: Solve for x
    x = 13,638,694,233.53/182,842.44
  6. Step 6: Final answer
    x = 74,592.61

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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.