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Finding the Fourth Proportional to 33,122, 49,697.40 and 16,498.64

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Solution

The fourth proportional to 33,122, 49,697.40 and 16,498.64 is: 24,755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122 : 49,697.40 = 16,498.64 : x
  2. Step 2: Convert to fraction form
    33,122/49,697.40 = 16,498.64/x
  3. Step 3: Cross multiply
    33,122x = 49,697.40 × 16,498.64
  4. Step 4: Simplify right side
    33,122x = 819,939,511.54
  5. Step 5: Solve for x
    x = 819,939,511.54/33,122
  6. Step 6: Final answer
    x = 24,755.13

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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.