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Finding the Fourth Proportional to 116,512, 174,797.16 and 33,406

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Solution

The fourth proportional to 116,512, 174,797.16 and 33,406 is: 50,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,512 : 174,797.16 = 33,406 : x
  2. Step 2: Convert to fraction form
    116,512/174,797.16 = 33,406/x
  3. Step 3: Cross multiply
    116,512x = 174,797.16 × 33,406
  4. Step 4: Simplify right side
    116,512x = 5,839,273,926.96
  5. Step 5: Solve for x
    x = 5,839,273,926.96/116,512
  6. Step 6: Final answer
    x = 50,117.36

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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.