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Finding the Fourth Proportional to 31,833.52, 47,672.50 and 27,478.96

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Solution

The fourth proportional to 31,833.52, 47,672.50 and 27,478.96 is: 41,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.52 : 47,672.50 = 27,478.96 : x
  2. Step 2: Convert to fraction form
    31,833.52/47,672.50 = 27,478.96/x
  3. Step 3: Cross multiply
    31,833.52x = 47,672.50 × 27,478.96
  4. Step 4: Simplify right side
    31,833.52x = 1,309,990,720.60
  5. Step 5: Solve for x
    x = 1,309,990,720.60/31,833.52
  6. Step 6: Final answer
    x = 41,151.30

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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.