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Finding the Fourth Proportional to 38,673.68, 57,965.54 and 31,665.56

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Solution

The fourth proportional to 38,673.68, 57,965.54 and 31,665.56 is: 47,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,673.68 : 57,965.54 = 31,665.56 : x
  2. Step 2: Convert to fraction form
    38,673.68/57,965.54 = 31,665.56/x
  3. Step 3: Cross multiply
    38,673.68x = 57,965.54 × 31,665.56
  4. Step 4: Simplify right side
    38,673.68x = 1,835,511,284.80
  5. Step 5: Solve for x
    x = 1,835,511,284.80/38,673.68
  6. Step 6: Final answer
    x = 47,461.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.