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Finding the Fourth Proportional to 102,993.57, 154,490.85 and 36,433.76

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Solution

The fourth proportional to 102,993.57, 154,490.85 and 36,433.76 is: 54,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,993.57 : 154,490.85 = 36,433.76 : x
  2. Step 2: Convert to fraction form
    102,993.57/154,490.85 = 36,433.76/x
  3. Step 3: Cross multiply
    102,993.57x = 154,490.85 × 36,433.76
  4. Step 4: Simplify right side
    102,993.57x = 5,628,681,778.64
  5. Step 5: Solve for x
    x = 5,628,681,778.64/102,993.57
  6. Step 6: Final answer
    x = 54,650.81

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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.