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Finding the Fourth Proportional to 71,816.58, 107,424.81 and 50,467.80

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Solution

The fourth proportional to 71,816.58, 107,424.81 and 50,467.80 is: 75,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,816.58 : 107,424.81 = 50,467.80 : x
  2. Step 2: Convert to fraction form
    71,816.58/107,424.81 = 50,467.80/x
  3. Step 3: Cross multiply
    71,816.58x = 107,424.81 × 50,467.80
  4. Step 4: Simplify right side
    71,816.58x = 5,421,493,826.12
  5. Step 5: Solve for x
    x = 5,421,493,826.12/71,816.58
  6. Step 6: Final answer
    x = 75,490.84

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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.