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Finding the Fourth Proportional to 31,634.72, 47,456.64 and 11,920.64

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Solution

The fourth proportional to 31,634.72, 47,456.64 and 11,920.64 is: 17,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,634.72 : 47,456.64 = 11,920.64 : x
  2. Step 2: Convert to fraction form
    31,634.72/47,456.64 = 11,920.64/x
  3. Step 3: Cross multiply
    31,634.72x = 47,456.64 × 11,920.64
  4. Step 4: Simplify right side
    31,634.72x = 565,713,521.05
  5. Step 5: Solve for x
    x = 565,713,521.05/31,634.72
  6. Step 6: Final answer
    x = 17,882.68

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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.