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Finding the Fourth Proportional to 33,184.89, 49,710.51 and 16,494.30

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Solution

The fourth proportional to 33,184.89, 49,710.51 and 16,494.30 is: 24,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184.89 : 49,710.51 = 16,494.30 : x
  2. Step 2: Convert to fraction form
    33,184.89/49,710.51 = 16,494.30/x
  3. Step 3: Cross multiply
    33,184.89x = 49,710.51 × 16,494.30
  4. Step 4: Simplify right side
    33,184.89x = 819,940,065.09
  5. Step 5: Solve for x
    x = 819,940,065.09/33,184.89
  6. Step 6: Final answer
    x = 24,708.24

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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.