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Finding the Fourth Proportional to 23,535.54, 35,311.95 and 22,144.50

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Solution

The fourth proportional to 23,535.54, 35,311.95 and 22,144.50 is: 33,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,535.54 : 35,311.95 = 22,144.50 : x
  2. Step 2: Convert to fraction form
    23,535.54/35,311.95 = 22,144.50/x
  3. Step 3: Cross multiply
    23,535.54x = 35,311.95 × 22,144.50
  4. Step 4: Simplify right side
    23,535.54x = 781,965,476.78
  5. Step 5: Solve for x
    x = 781,965,476.78/23,535.54
  6. Step 6: Final answer
    x = 33,224.88

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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.