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Finding the Fourth Proportional to 33,182.46, 49,760.73 and 14,701.50

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Solution

The fourth proportional to 33,182.46, 49,760.73 and 14,701.50 is: 22,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182.46 : 49,760.73 = 14,701.50 : x
  2. Step 2: Convert to fraction form
    33,182.46/49,760.73 = 14,701.50/x
  3. Step 3: Cross multiply
    33,182.46x = 49,760.73 × 14,701.50
  4. Step 4: Simplify right side
    33,182.46x = 731,557,372.10
  5. Step 5: Solve for x
    x = 731,557,372.10/33,182.46
  6. Step 6: Final answer
    x = 22,046.51

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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.