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Finding the Fourth Proportional to 116,511, 174,795.66 and 33,405

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Solution

The fourth proportional to 116,511, 174,795.66 and 33,405 is: 50,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,511 : 174,795.66 = 33,405 : x
  2. Step 2: Convert to fraction form
    116,511/174,795.66 = 33,405/x
  3. Step 3: Cross multiply
    116,511x = 174,795.66 × 33,405
  4. Step 4: Simplify right side
    116,511x = 5,839,049,022.30
  5. Step 5: Solve for x
    x = 5,839,049,022.30/116,511
  6. Step 6: Final answer
    x = 50,115.86

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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.