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Finding the Fourth Proportional to 123,521.52, 185,282.28 and 30,027

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Solution

The fourth proportional to 123,521.52, 185,282.28 and 30,027 is: 45,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,521.52 : 185,282.28 = 30,027 : x
  2. Step 2: Convert to fraction form
    123,521.52/185,282.28 = 30,027/x
  3. Step 3: Cross multiply
    123,521.52x = 185,282.28 × 30,027
  4. Step 4: Simplify right side
    123,521.52x = 5,563,471,021.56
  5. Step 5: Solve for x
    x = 5,563,471,021.56/123,521.52
  6. Step 6: Final answer
    x = 45,040.50

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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.