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Finding the Fourth Proportional to 33,166.38, 45,772.83 and 24,768.30

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Solution

The fourth proportional to 33,166.38, 45,772.83 and 24,768.30 is: 34,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,166.38 : 45,772.83 = 24,768.30 : x
  2. Step 2: Convert to fraction form
    33,166.38/45,772.83 = 24,768.30/x
  3. Step 3: Cross multiply
    33,166.38x = 45,772.83 × 24,768.30
  4. Step 4: Simplify right side
    33,166.38x = 1,133,715,185.29
  5. Step 5: Solve for x
    x = 1,133,715,185.29/33,166.38
  6. Step 6: Final answer
    x = 34,182.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.