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Finding the Fourth Proportional to 51,351.80, 77,027.70 and 36,318.20

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Solution

The fourth proportional to 51,351.80, 77,027.70 and 36,318.20 is: 54,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,351.80 : 77,027.70 = 36,318.20 : x
  2. Step 2: Convert to fraction form
    51,351.80/77,027.70 = 36,318.20/x
  3. Step 3: Cross multiply
    51,351.80x = 77,027.70 × 36,318.20
  4. Step 4: Simplify right side
    51,351.80x = 2,797,507,414.14
  5. Step 5: Solve for x
    x = 2,797,507,414.14/51,351.80
  6. Step 6: Final answer
    x = 54,477.30

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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.