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Finding the Fourth Proportional to 47,704.04, 71,558 and 12,166.28

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Solution

The fourth proportional to 47,704.04, 71,558 and 12,166.28 is: 18,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,704.04 : 71,558 = 12,166.28 : x
  2. Step 2: Convert to fraction form
    47,704.04/71,558 = 12,166.28/x
  3. Step 3: Cross multiply
    47,704.04x = 71,558 × 12,166.28
  4. Step 4: Simplify right side
    47,704.04x = 870,594,664.24
  5. Step 5: Solve for x
    x = 870,594,664.24/47,704.04
  6. Step 6: Final answer
    x = 18,249.91

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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.