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Finding the Fourth Proportional to 50,506.96, 75,733.74 and 22,414.80

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Solution

The fourth proportional to 50,506.96, 75,733.74 and 22,414.80 is: 33,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,506.96 : 75,733.74 = 22,414.80 : x
  2. Step 2: Convert to fraction form
    50,506.96/75,733.74 = 22,414.80/x
  3. Step 3: Cross multiply
    50,506.96x = 75,733.74 × 22,414.80
  4. Step 4: Simplify right side
    50,506.96x = 1,697,556,635.35
  5. Step 5: Solve for x
    x = 1,697,556,635.35/50,506.96
  6. Step 6: Final answer
    x = 33,610.35

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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.