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Finding the Fourth Proportional to 182,704.81, 274,046.28 and 49,582.12

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Solution

The fourth proportional to 182,704.81, 274,046.28 and 49,582.12 is: 74,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,704.81 : 274,046.28 = 49,582.12 : x
  2. Step 2: Convert to fraction form
    182,704.81/274,046.28 = 49,582.12/x
  3. Step 3: Cross multiply
    182,704.81x = 274,046.28 × 49,582.12
  4. Step 4: Simplify right side
    182,704.81x = 13,587,795,540.51
  5. Step 5: Solve for x
    x = 13,587,795,540.51/182,704.81
  6. Step 6: Final answer
    x = 74,370.21

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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.