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Finding the Fourth Proportional to 54,057.27, 74,595.82 and 31,394.69

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Solution

The fourth proportional to 54,057.27, 74,595.82 and 31,394.69 is: 43,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,057.27 : 74,595.82 = 31,394.69 : x
  2. Step 2: Convert to fraction form
    54,057.27/74,595.82 = 31,394.69/x
  3. Step 3: Cross multiply
    54,057.27x = 74,595.82 × 31,394.69
  4. Step 4: Simplify right side
    54,057.27x = 2,341,912,644.20
  5. Step 5: Solve for x
    x = 2,341,912,644.20/54,057.27
  6. Step 6: Final answer
    x = 43,322.81

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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.