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Finding the Fourth Proportional to 33,187.73, 49,772.48 and 12,123.88

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Solution

The fourth proportional to 33,187.73, 49,772.48 and 12,123.88 is: 18,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,187.73 : 49,772.48 = 12,123.88 : x
  2. Step 2: Convert to fraction form
    33,187.73/49,772.48 = 12,123.88/x
  3. Step 3: Cross multiply
    33,187.73x = 49,772.48 × 12,123.88
  4. Step 4: Simplify right side
    33,187.73x = 603,435,389.77
  5. Step 5: Solve for x
    x = 603,435,389.77/33,187.73
  6. Step 6: Final answer
    x = 18,182.49

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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.