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Finding the Fourth Proportional to 51,982.32, 71,727.48 and 29,622

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Solution

The fourth proportional to 51,982.32, 71,727.48 and 29,622 is: 40,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982.32 : 71,727.48 = 29,622 : x
  2. Step 2: Convert to fraction form
    51,982.32/71,727.48 = 29,622/x
  3. Step 3: Cross multiply
    51,982.32x = 71,727.48 × 29,622
  4. Step 4: Simplify right side
    51,982.32x = 2,124,711,412.56
  5. Step 5: Solve for x
    x = 2,124,711,412.56/51,982.32
  6. Step 6: Final answer
    x = 40,873.73

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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.