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Finding the Fourth Proportional to 116,515, 174,801.66 and 33,409

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Solution

The fourth proportional to 116,515, 174,801.66 and 33,409 is: 50,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,515 : 174,801.66 = 33,409 : x
  2. Step 2: Convert to fraction form
    116,515/174,801.66 = 33,409/x
  3. Step 3: Cross multiply
    116,515x = 174,801.66 × 33,409
  4. Step 4: Simplify right side
    116,515x = 5,839,948,658.94
  5. Step 5: Solve for x
    x = 5,839,948,658.94/116,515
  6. Step 6: Final answer
    x = 50,121.86

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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.