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Finding the Fourth Proportional to 33,092.88, 49,652.28 and 12,318

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Solution

The fourth proportional to 33,092.88, 49,652.28 and 12,318 is: 18,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,092.88 : 49,652.28 = 12,318 : x
  2. Step 2: Convert to fraction form
    33,092.88/49,652.28 = 12,318/x
  3. Step 3: Cross multiply
    33,092.88x = 49,652.28 × 12,318
  4. Step 4: Simplify right side
    33,092.88x = 611,616,785.04
  5. Step 5: Solve for x
    x = 611,616,785.04/33,092.88
  6. Step 6: Final answer
    x = 18,481.82

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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.