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Finding the Fourth Proportional to 51,208.20, 76,815.90 and 29,032.20

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Solution

The fourth proportional to 51,208.20, 76,815.90 and 29,032.20 is: 43,550.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,208.20 : 76,815.90 = 29,032.20 : x
  2. Step 2: Convert to fraction form
    51,208.20/76,815.90 = 29,032.20/x
  3. Step 3: Cross multiply
    51,208.20x = 76,815.90 × 29,032.20
  4. Step 4: Simplify right side
    51,208.20x = 2,230,134,571.98
  5. Step 5: Solve for x
    x = 2,230,134,571.98/51,208.20
  6. Step 6: Final answer
    x = 43,550.34

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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.