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Finding the Fourth Proportional to 116,829, 175,272.66 and 33,723

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Solution

The fourth proportional to 116,829, 175,272.66 and 33,723 is: 50,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,829 : 175,272.66 = 33,723 : x
  2. Step 2: Convert to fraction form
    116,829/175,272.66 = 33,723/x
  3. Step 3: Cross multiply
    116,829x = 175,272.66 × 33,723
  4. Step 4: Simplify right side
    116,829x = 5,910,719,913.18
  5. Step 5: Solve for x
    x = 5,910,719,913.18/116,829
  6. Step 6: Final answer
    x = 50,592.92

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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.