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Finding the Fourth Proportional to 50,534.25, 75,772.22 and 22,454.25

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Solution

The fourth proportional to 50,534.25, 75,772.22 and 22,454.25 is: 33,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,534.25 : 75,772.22 = 22,454.25 : x
  2. Step 2: Convert to fraction form
    50,534.25/75,772.22 = 22,454.25/x
  3. Step 3: Cross multiply
    50,534.25x = 75,772.22 × 22,454.25
  4. Step 4: Simplify right side
    50,534.25x = 1,701,408,258.66
  5. Step 5: Solve for x
    x = 1,701,408,258.66/50,534.25
  6. Step 6: Final answer
    x = 33,668.42

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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.