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Finding the Fourth Proportional to 47,855.57, 71,777.87 and 12,797.96

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Solution

The fourth proportional to 47,855.57, 71,777.87 and 12,797.96 is: 19,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,855.57 : 71,777.87 = 12,797.96 : x
  2. Step 2: Convert to fraction form
    47,855.57/71,777.87 = 12,797.96/x
  3. Step 3: Cross multiply
    47,855.57x = 71,777.87 × 12,797.96
  4. Step 4: Simplify right side
    47,855.57x = 918,609,950.26
  5. Step 5: Solve for x
    x = 918,609,950.26/47,855.57
  6. Step 6: Final answer
    x = 19,195.47

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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.