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Finding the Fourth Proportional to 47,738.70, 71,605.71 and 19,651.68

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Solution

The fourth proportional to 47,738.70, 71,605.71 and 19,651.68 is: 29,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,738.70 : 71,605.71 = 19,651.68 : x
  2. Step 2: Convert to fraction form
    47,738.70/71,605.71 = 19,651.68/x
  3. Step 3: Cross multiply
    47,738.70x = 71,605.71 × 19,651.68
  4. Step 4: Simplify right side
    47,738.70x = 1,407,172,499.09
  5. Step 5: Solve for x
    x = 1,407,172,499.09/47,738.70
  6. Step 6: Final answer
    x = 29,476.56

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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.