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Finding the Fourth Proportional to 109,391.87, 164,087.81 and 35,519.87

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Solution

The fourth proportional to 109,391.87, 164,087.81 and 35,519.87 is: 53,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,391.87 : 164,087.81 = 35,519.87 : x
  2. Step 2: Convert to fraction form
    109,391.87/164,087.81 = 35,519.87/x
  3. Step 3: Cross multiply
    109,391.87x = 164,087.81 × 35,519.87
  4. Step 4: Simplify right side
    109,391.87x = 5,828,378,045.60
  5. Step 5: Solve for x
    x = 5,828,378,045.60/109,391.87
  6. Step 6: Final answer
    x = 53,279.81

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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.