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Finding the Fourth Proportional to 47,808, 71,723.52 and 14,976

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Solution

The fourth proportional to 47,808, 71,723.52 and 14,976 is: 22,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,808 : 71,723.52 = 14,976 : x
  2. Step 2: Convert to fraction form
    47,808/71,723.52 = 14,976/x
  3. Step 3: Cross multiply
    47,808x = 71,723.52 × 14,976
  4. Step 4: Simplify right side
    47,808x = 1,074,131,435.52
  5. Step 5: Solve for x
    x = 1,074,131,435.52/47,808
  6. Step 6: Final answer
    x = 22,467.61

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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.