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Finding the Fourth Proportional to 31,910.52, 47,833.38 and 20,201.16

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Solution

The fourth proportional to 31,910.52, 47,833.38 and 20,201.16 is: 30,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,910.52 : 47,833.38 = 20,201.16 : x
  2. Step 2: Convert to fraction form
    31,910.52/47,833.38 = 20,201.16/x
  3. Step 3: Cross multiply
    31,910.52x = 47,833.38 × 20,201.16
  4. Step 4: Simplify right side
    31,910.52x = 966,289,762.72
  5. Step 5: Solve for x
    x = 966,289,762.72/31,910.52
  6. Step 6: Final answer
    x = 30,281.23

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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.