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Finding the Fourth Proportional to 50,274.68, 75,324.92 and 30,511.84

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Solution

The fourth proportional to 50,274.68, 75,324.92 and 30,511.84 is: 45,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,274.68 : 75,324.92 = 30,511.84 : x
  2. Step 2: Convert to fraction form
    50,274.68/75,324.92 = 30,511.84/x
  3. Step 3: Cross multiply
    50,274.68x = 75,324.92 × 30,511.84
  4. Step 4: Simplify right side
    50,274.68x = 2,298,301,907.05
  5. Step 5: Solve for x
    x = 2,298,301,907.05/50,274.68
  6. Step 6: Final answer
    x = 45,714.90

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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.