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Finding the Fourth Proportional to 32,542.56, 45,138.78 and 31,678.87

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Solution

The fourth proportional to 32,542.56, 45,138.78 and 31,678.87 is: 43,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542.56 : 45,138.78 = 31,678.87 : x
  2. Step 2: Convert to fraction form
    32,542.56/45,138.78 = 31,678.87/x
  3. Step 3: Cross multiply
    32,542.56x = 45,138.78 × 31,678.87
  4. Step 4: Simplify right side
    32,542.56x = 1,429,945,451.34
  5. Step 5: Solve for x
    x = 1,429,945,451.34/32,542.56
  6. Step 6: Final answer
    x = 43,940.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.