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Finding the Fourth Proportional to 34,766.26, 47,978.38 and 19,661.17

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Solution

The fourth proportional to 34,766.26, 47,978.38 and 19,661.17 is: 27,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,766.26 : 47,978.38 = 19,661.17 : x
  2. Step 2: Convert to fraction form
    34,766.26/47,978.38 = 19,661.17/x
  3. Step 3: Cross multiply
    34,766.26x = 47,978.38 × 19,661.17
  4. Step 4: Simplify right side
    34,766.26x = 943,310,902.03
  5. Step 5: Solve for x
    x = 943,310,902.03/34,766.26
  6. Step 6: Final answer
    x = 27,132.94

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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.