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Finding the Fourth Proportional to 47,909.70, 71,859.07 and 12,846.63

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Solution

The fourth proportional to 47,909.70, 71,859.07 and 12,846.63 is: 19,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,909.70 : 71,859.07 = 12,846.63 : x
  2. Step 2: Convert to fraction form
    47,909.70/71,859.07 = 12,846.63/x
  3. Step 3: Cross multiply
    47,909.70x = 71,859.07 × 12,846.63
  4. Step 4: Simplify right side
    47,909.70x = 923,146,884.43
  5. Step 5: Solve for x
    x = 923,146,884.43/47,909.70
  6. Step 6: Final answer
    x = 19,268.48

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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.