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Finding the Fourth Proportional to 30,704.20, 46,056.28 and 8,523.16

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Solution

The fourth proportional to 30,704.20, 46,056.28 and 8,523.16 is: 12,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.20 : 46,056.28 = 8,523.16 : x
  2. Step 2: Convert to fraction form
    30,704.20/46,056.28 = 8,523.16/x
  3. Step 3: Cross multiply
    30,704.20x = 46,056.28 × 8,523.16
  4. Step 4: Simplify right side
    30,704.20x = 392,545,043.44
  5. Step 5: Solve for x
    x = 392,545,043.44/30,704.20
  6. Step 6: Final answer
    x = 12,784.73

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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.