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Finding the Fourth Proportional to 47,872.70, 71,811.73 and 14,593.84

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Solution

The fourth proportional to 47,872.70, 71,811.73 and 14,593.84 is: 21,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.70 : 71,811.73 = 14,593.84 : x
  2. Step 2: Convert to fraction form
    47,872.70/71,811.73 = 14,593.84/x
  3. Step 3: Cross multiply
    47,872.70x = 71,811.73 × 14,593.84
  4. Step 4: Simplify right side
    47,872.70x = 1,048,008,897.74
  5. Step 5: Solve for x
    x = 1,048,008,897.74/47,872.70
  6. Step 6: Final answer
    x = 21,891.58

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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.