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Finding the Fourth Proportional to 103,964.62, 155,817.42 and 47,744.96

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Solution

The fourth proportional to 103,964.62, 155,817.42 and 47,744.96 is: 71,557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,964.62 : 155,817.42 = 47,744.96 : x
  2. Step 2: Convert to fraction form
    103,964.62/155,817.42 = 47,744.96/x
  3. Step 3: Cross multiply
    103,964.62x = 155,817.42 × 47,744.96
  4. Step 4: Simplify right side
    103,964.62x = 7,439,496,485.20
  5. Step 5: Solve for x
    x = 7,439,496,485.20/103,964.62
  6. Step 6: Final answer
    x = 71,557.96

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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.