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Finding the Fourth Proportional to 109,305.80, 163,956.54 and 35,433.80

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Solution

The fourth proportional to 109,305.80, 163,956.54 and 35,433.80 is: 53,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,305.80 : 163,956.54 = 35,433.80 : x
  2. Step 2: Convert to fraction form
    109,305.80/163,956.54 = 35,433.80/x
  3. Step 3: Cross multiply
    109,305.80x = 163,956.54 × 35,433.80
  4. Step 4: Simplify right side
    109,305.80x = 5,809,603,247.05
  5. Step 5: Solve for x
    x = 5,809,603,247.05/109,305.80
  6. Step 6: Final answer
    x = 53,150.00

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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.