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Finding the Fourth Proportional to 81,086.72, 111,926.40 and 47,552

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Solution

The fourth proportional to 81,086.72, 111,926.40 and 47,552 is: 65,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,086.72 : 111,926.40 = 47,552 : x
  2. Step 2: Convert to fraction form
    81,086.72/111,926.40 = 47,552/x
  3. Step 3: Cross multiply
    81,086.72x = 111,926.40 × 47,552
  4. Step 4: Simplify right side
    81,086.72x = 5,322,324,172.80
  5. Step 5: Solve for x
    x = 5,322,324,172.80/81,086.72
  6. Step 6: Final answer
    x = 65,637.43

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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.