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Finding the Fourth Proportional to 38,517.65, 57,682.07 and 31,813.11

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Solution

The fourth proportional to 38,517.65, 57,682.07 and 31,813.11 is: 47,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,517.65 : 57,682.07 = 31,813.11 : x
  2. Step 2: Convert to fraction form
    38,517.65/57,682.07 = 31,813.11/x
  3. Step 3: Cross multiply
    38,517.65x = 57,682.07 × 31,813.11
  4. Step 4: Simplify right side
    38,517.65x = 1,835,046,037.94
  5. Step 5: Solve for x
    x = 1,835,046,037.94/38,517.65
  6. Step 6: Final answer
    x = 47,641.69

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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.