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Finding the Fourth Proportional to 51,238.80, 76,858.20 and 36,205.20

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Solution

The fourth proportional to 51,238.80, 76,858.20 and 36,205.20 is: 54,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,238.80 : 76,858.20 = 36,205.20 : x
  2. Step 2: Convert to fraction form
    51,238.80/76,858.20 = 36,205.20/x
  3. Step 3: Cross multiply
    51,238.80x = 76,858.20 × 36,205.20
  4. Step 4: Simplify right side
    51,238.80x = 2,782,666,502.64
  5. Step 5: Solve for x
    x = 2,782,666,502.64/51,238.80
  6. Step 6: Final answer
    x = 54,307.80

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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.