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Finding the Fourth Proportional to 35,704.50, 49,251.69 and 22,269.30

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Solution

The fourth proportional to 35,704.50, 49,251.69 and 22,269.30 is: 30,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.50 : 49,251.69 = 22,269.30 : x
  2. Step 2: Convert to fraction form
    35,704.50/49,251.69 = 22,269.30/x
  3. Step 3: Cross multiply
    35,704.50x = 49,251.69 × 22,269.30
  4. Step 4: Simplify right side
    35,704.50x = 1,096,800,660.12
  5. Step 5: Solve for x
    x = 1,096,800,660.12/35,704.50
  6. Step 6: Final answer
    x = 30,718.84

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