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Finding the Fourth Proportional to 106,049.90, 159,078.69 and 34,974.28

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Solution

The fourth proportional to 106,049.90, 159,078.69 and 34,974.28 is: 52,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,049.90 : 159,078.69 = 34,974.28 : x
  2. Step 2: Convert to fraction form
    106,049.90/159,078.69 = 34,974.28/x
  3. Step 3: Cross multiply
    106,049.90x = 159,078.69 × 34,974.28
  4. Step 4: Simplify right side
    106,049.90x = 5,563,661,850.70
  5. Step 5: Solve for x
    x = 5,563,661,850.70/106,049.90
  6. Step 6: Final answer
    x = 52,462.68

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1.5x scale

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.