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Finding the Fourth Proportional to 182,705.31, 274,047.03 and 49,582.62

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Solution

The fourth proportional to 182,705.31, 274,047.03 and 49,582.62 is: 74,370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,705.31 : 274,047.03 = 49,582.62 : x
  2. Step 2: Convert to fraction form
    182,705.31/274,047.03 = 49,582.62/x
  3. Step 3: Cross multiply
    182,705.31x = 274,047.03 × 49,582.62
  4. Step 4: Simplify right side
    182,705.31x = 13,587,969,750.62
  5. Step 5: Solve for x
    x = 13,587,969,750.62/182,705.31
  6. Step 6: Final answer
    x = 74,370.96

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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.