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Finding the Fourth Proportional to 71,382.80, 107,074.20 and 36,390.80

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Solution

The fourth proportional to 71,382.80, 107,074.20 and 36,390.80 is: 54,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,382.80 : 107,074.20 = 36,390.80 : x
  2. Step 2: Convert to fraction form
    71,382.80/107,074.20 = 36,390.80/x
  3. Step 3: Cross multiply
    71,382.80x = 107,074.20 × 36,390.80
  4. Step 4: Simplify right side
    71,382.80x = 3,896,515,797.36
  5. Step 5: Solve for x
    x = 3,896,515,797.36/71,382.80
  6. Step 6: Final answer
    x = 54,586.20

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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.