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Finding the Fourth Proportional to 31,662.72, 47,498.12 and 11,673.52

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Solution

The fourth proportional to 31,662.72, 47,498.12 and 11,673.52 is: 17,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662.72 : 47,498.12 = 11,673.52 : x
  2. Step 2: Convert to fraction form
    31,662.72/47,498.12 = 11,673.52/x
  3. Step 3: Cross multiply
    31,662.72x = 47,498.12 × 11,673.52
  4. Step 4: Simplify right side
    31,662.72x = 554,470,253.78
  5. Step 5: Solve for x
    x = 554,470,253.78/31,662.72
  6. Step 6: Final answer
    x = 17,511.77

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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.