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Finding the Fourth Proportional to 33,406.58, 50,114.00 and 10,916.73

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Solution

The fourth proportional to 33,406.58, 50,114.00 and 10,916.73 is: 16,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406.58 : 50,114.00 = 10,916.73 : x
  2. Step 2: Convert to fraction form
    33,406.58/50,114.00 = 10,916.73/x
  3. Step 3: Cross multiply
    33,406.58x = 50,114.00 × 10,916.73
  4. Step 4: Simplify right side
    33,406.58x = 547,080,952.64
  5. Step 5: Solve for x
    x = 547,080,952.64/33,406.58
  6. Step 6: Final answer
    x = 16,376.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.