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Finding the Fourth Proportional to 33,123.60, 49,685.40 and 8,499.60

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Solution

The fourth proportional to 33,123.60, 49,685.40 and 8,499.60 is: 12,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,123.60 : 49,685.40 = 8,499.60 : x
  2. Step 2: Convert to fraction form
    33,123.60/49,685.40 = 8,499.60/x
  3. Step 3: Cross multiply
    33,123.60x = 49,685.40 × 8,499.60
  4. Step 4: Simplify right side
    33,123.60x = 422,306,025.84
  5. Step 5: Solve for x
    x = 422,306,025.84/33,123.60
  6. Step 6: Final answer
    x = 12,749.40

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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.