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Finding the Fourth Proportional to 31,661.08, 47,491.62 and 8,289.52

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Solution

The fourth proportional to 31,661.08, 47,491.62 and 8,289.52 is: 12,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,661.08 : 47,491.62 = 8,289.52 : x
  2. Step 2: Convert to fraction form
    31,661.08/47,491.62 = 8,289.52/x
  3. Step 3: Cross multiply
    31,661.08x = 47,491.62 × 8,289.52
  4. Step 4: Simplify right side
    31,661.08x = 393,682,733.82
  5. Step 5: Solve for x
    x = 393,682,733.82/31,661.08
  6. Step 6: Final answer
    x = 12,434.28

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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.