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Finding the Fourth Proportional to 123,467.84, 185,074.64 and 48,557.62

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Solution

The fourth proportional to 123,467.84, 185,074.64 and 48,557.62 is: 72,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,467.84 : 185,074.64 = 48,557.62 : x
  2. Step 2: Convert to fraction form
    123,467.84/185,074.64 = 48,557.62/x
  3. Step 3: Cross multiply
    123,467.84x = 185,074.64 × 48,557.62
  4. Step 4: Simplify right side
    123,467.84x = 8,986,782,872.60
  5. Step 5: Solve for x
    x = 8,986,782,872.60/123,467.84
  6. Step 6: Final answer
    x = 72,786.43

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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.