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Finding the Fourth Proportional to 18,078.78, 27,115.35 and 4,932.18

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Solution

The fourth proportional to 18,078.78, 27,115.35 and 4,932.18 is: 7,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078.78 : 27,115.35 = 4,932.18 : x
  2. Step 2: Convert to fraction form
    18,078.78/27,115.35 = 4,932.18/x
  3. Step 3: Cross multiply
    18,078.78x = 27,115.35 × 4,932.18
  4. Step 4: Simplify right side
    18,078.78x = 133,737,786.96
  5. Step 5: Solve for x
    x = 133,737,786.96/18,078.78
  6. Step 6: Final answer
    x = 7,397.50

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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.