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Finding the Fourth Proportional to 104,750.16, 157,149.81 and 34,629

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Solution

The fourth proportional to 104,750.16, 157,149.81 and 34,629 is: 51,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,750.16 : 157,149.81 = 34,629 : x
  2. Step 2: Convert to fraction form
    104,750.16/157,149.81 = 34,629/x
  3. Step 3: Cross multiply
    104,750.16x = 157,149.81 × 34,629
  4. Step 4: Simplify right side
    104,750.16x = 5,441,940,770.49
  5. Step 5: Solve for x
    x = 5,441,940,770.49/104,750.16
  6. Step 6: Final answer
    x = 51,951.62

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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.