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Finding the Fourth Proportional to 51,105, 76,669.83 and 16,044.64

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Solution

The fourth proportional to 51,105, 76,669.83 and 16,044.64 is: 24,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,105 : 76,669.83 = 16,044.64 : x
  2. Step 2: Convert to fraction form
    51,105/76,669.83 = 16,044.64/x
  3. Step 3: Cross multiply
    51,105x = 76,669.83 × 16,044.64
  4. Step 4: Simplify right side
    51,105x = 1,230,139,821.21
  5. Step 5: Solve for x
    x = 1,230,139,821.21/51,105
  6. Step 6: Final answer
    x = 24,070.83

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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.