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Finding the Fourth Proportional to 33,123.40, 49,652.70 and 16,469.80

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Solution

The fourth proportional to 33,123.40, 49,652.70 and 16,469.80 is: 24,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,123.40 : 49,652.70 = 16,469.80 : x
  2. Step 2: Convert to fraction form
    33,123.40/49,652.70 = 16,469.80/x
  3. Step 3: Cross multiply
    33,123.40x = 49,652.70 × 16,469.80
  4. Step 4: Simplify right side
    33,123.40x = 817,770,038.46
  5. Step 5: Solve for x
    x = 817,770,038.46/33,123.40
  6. Step 6: Final answer
    x = 24,688.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.