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Finding the Fourth Proportional to 23,654.52, 35,481.78 and 8,072.28

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Solution

The fourth proportional to 23,654.52, 35,481.78 and 8,072.28 is: 12,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.52 : 35,481.78 = 8,072.28 : x
  2. Step 2: Convert to fraction form
    23,654.52/35,481.78 = 8,072.28/x
  3. Step 3: Cross multiply
    23,654.52x = 35,481.78 × 8,072.28
  4. Step 4: Simplify right side
    23,654.52x = 286,418,863.06
  5. Step 5: Solve for x
    x = 286,418,863.06/23,654.52
  6. Step 6: Final answer
    x = 12,108.42

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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.