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Finding the Fourth Proportional to 33,686.40, 50,456.70 and 21,876.60

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Solution

The fourth proportional to 33,686.40, 50,456.70 and 21,876.60 is: 32,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686.40 : 50,456.70 = 21,876.60 : x
  2. Step 2: Convert to fraction form
    33,686.40/50,456.70 = 21,876.60/x
  3. Step 3: Cross multiply
    33,686.40x = 50,456.70 × 21,876.60
  4. Step 4: Simplify right side
    33,686.40x = 1,103,821,043.22
  5. Step 5: Solve for x
    x = 1,103,821,043.22/33,686.40
  6. Step 6: Final answer
    x = 32,767.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.