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Finding the Fourth Proportional to 34,816.38, 48,046.23 and 19,708.80

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Solution

The fourth proportional to 34,816.38, 48,046.23 and 19,708.80 is: 27,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,816.38 : 48,046.23 = 19,708.80 : x
  2. Step 2: Convert to fraction form
    34,816.38/48,046.23 = 19,708.80/x
  3. Step 3: Cross multiply
    34,816.38x = 48,046.23 × 19,708.80
  4. Step 4: Simplify right side
    34,816.38x = 946,933,537.82
  5. Step 5: Solve for x
    x = 946,933,537.82/34,816.38
  6. Step 6: Final answer
    x = 27,197.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.