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Finding the Fourth Proportional to 47,872.77, 71,809.03 and 12,812.43

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Solution

The fourth proportional to 47,872.77, 71,809.03 and 12,812.43 is: 19,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.77 : 71,809.03 = 12,812.43 : x
  2. Step 2: Convert to fraction form
    47,872.77/71,809.03 = 12,812.43/x
  3. Step 3: Cross multiply
    47,872.77x = 71,809.03 × 12,812.43
  4. Step 4: Simplify right side
    47,872.77x = 920,048,170.24
  5. Step 5: Solve for x
    x = 920,048,170.24/47,872.77
  6. Step 6: Final answer
    x = 19,218.61

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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.