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Finding the Fourth Proportional to 31,782.38, 47,673.56 and 11,005.88

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Solution

The fourth proportional to 31,782.38, 47,673.56 and 11,005.88 is: 16,508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.38 : 47,673.56 = 11,005.88 : x
  2. Step 2: Convert to fraction form
    31,782.38/47,673.56 = 11,005.88/x
  3. Step 3: Cross multiply
    31,782.38x = 47,673.56 × 11,005.88
  4. Step 4: Simplify right side
    31,782.38x = 524,689,269.68
  5. Step 5: Solve for x
    x = 524,689,269.68/31,782.38
  6. Step 6: Final answer
    x = 16,508.81

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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.