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Finding the Fourth Proportional to 31,992.24, 44,149.37 and 17,846

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Solution

The fourth proportional to 31,992.24, 44,149.37 and 17,846 is: 24,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.24 : 44,149.37 = 17,846 : x
  2. Step 2: Convert to fraction form
    31,992.24/44,149.37 = 17,846/x
  3. Step 3: Cross multiply
    31,992.24x = 44,149.37 × 17,846
  4. Step 4: Simplify right side
    31,992.24x = 787,889,657.02
  5. Step 5: Solve for x
    x = 787,889,657.02/31,992.24
  6. Step 6: Final answer
    x = 24,627.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.