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Finding the Fourth Proportional to 53,611.34, 73,982.22 and 30,949.56

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Solution

The fourth proportional to 53,611.34, 73,982.22 and 30,949.56 is: 42,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,611.34 : 73,982.22 = 30,949.56 : x
  2. Step 2: Convert to fraction form
    53,611.34/73,982.22 = 30,949.56/x
  3. Step 3: Cross multiply
    53,611.34x = 73,982.22 × 30,949.56
  4. Step 4: Simplify right side
    53,611.34x = 2,289,717,156.82
  5. Step 5: Solve for x
    x = 2,289,717,156.82/53,611.34
  6. Step 6: Final answer
    x = 42,709.57

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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.