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Finding the Fourth Proportional to 32,706.40, 49,059.60 and 8,082.40

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Solution

The fourth proportional to 32,706.40, 49,059.60 and 8,082.40 is: 12,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.40 : 49,059.60 = 8,082.40 : x
  2. Step 2: Convert to fraction form
    32,706.40/49,059.60 = 8,082.40/x
  3. Step 3: Cross multiply
    32,706.40x = 49,059.60 × 8,082.40
  4. Step 4: Simplify right side
    32,706.40x = 396,519,311.04
  5. Step 5: Solve for x
    x = 396,519,311.04/32,706.40
  6. Step 6: Final answer
    x = 12,123.60

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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.